Problem 342RE: In the following exercises, determine the type of polynomial. 342. 16x240x25 Problem 343RE: In the following exercises, determine the type of polynomial. 343. 5m+9 Problem 344RE: In the following exercises, determine the type of polynomial. 344. 15 Problem 345RE: In the following exercises, determine the type of polynomial. 345. y2+6y3+9y4 Problem 346RE: In the following exercises, add or subtract the polynomials. 346. 4p+11p Problem 347RE: In the following exercises, add or subtract the polynomials. 347. 8y35y3 Problem 348RE: In the following exercises, add or subtract the polynomials. 348. (4a2+9a11)+(6a25a+10) Problem 349RE: In the following exercises, add or subtract the polynomials. 349. (8m2+12m5)(2m27m1) Problem 350RE: In the following exercises, add or subtract the polynomials. 350. (y23y+12)+(5y29) Problem 351RE: In the following exercises, add or subtract the polynomials. 351. (5u2+8u)(4u7) Problem 352RE: In the following exercises, add or subtract the polynomials. 352. Find the sum of 8q327 and q2+6q2 . Problem 353RE: In the following exercises, add or subtract the polynomials. 353. Find the sum of x2+6x+8 and... Problem 354RE: In the following exercises, simplify. 354. 17mn2(9mn2)+3mn2 Problem 355RE: In the following exercises, simplify. 355. 18a7b21a Problem 356RE: In the following exercises, simplify. 356. 2pq25p3q2 Problem 357RE: In the following exercises, simplify. 357. (6a2+7)+(2a25a9) Problem 358RE: In the following exercises, simplify. 358. (3p24p9)+(5p2+14) Problem 359RE: In the following exercises, simplify. 359. (7m22m5)(4m2+m8) Problem 360RE: In the following exercises, simplify. 360. (7b24b+3)(8b25b7) Problem 361RE: In the following exercises, simplify. 361. Subtract (8y2y+9) from (11y29y5) Problem 362RE: In the following exercises, simplify. 362. Find the difference of (z24z12) and (3z2+2z11) . Problem 363RE: In the following exercises, simplify. 363. (x3x2y)(4xy2y3)+(3x2yxy2) Problem 364RE: In the following exercises, simplify. 364. (x32x2y)(xy23y3)(x2y4xy2) Problem 365RE: In the following exercises, find the function values for each polynomial function. 365. For the... Problem 366RE: In the following exercises, find the function values for each polynomial function. 366. For the... Problem 367RE: In the following exercises, find the function values for each polynomial function. 367. A pair of... Problem 368RE: In the following exercises, find the function values for each polynomial function. 368. A... Problem 369RE: In the following exercises, find (a) (f+g)(x)(b) (f+g)(3)(c) (fg)(x)(d) (fg)(2) 369. f(x)=2x24x7 and... Problem 370RE: In the following exercises, find (a) (f+g)(x)(b) (f+g)(3)(c) (fg)(x)(d) (fg)(2) 370. f(x)=4x33x2+x1... Problem 371RE: In the following exercises, simplify each expression using the properties for exponents. 371. p3p10 Problem 372RE: In the following exercises, simplify each expression using the properties for exponents. 372. 226 Problem 373RE: In the following exercises, simplify each expression using the properties for exponents. 373. aa2a3 Problem 374RE: In the following exercises, simplify each expression using the properties for exponents. 374. xx8 Problem 375RE: In the following exercises, simplify each expression using the properties for exponents. 375. yayb Problem 376RE: In the following exercises, simplify each expression using the properties for exponents. 376. 2822 Problem 377RE: In the following exercises, simplify each expression using the properties for exponents. 377. a6a Problem 378RE: In the following exercises, simplify each expression using the properties for exponents. 378. n3n12 Problem 379RE: In the following exercises, simplify each expression using the properties for exponents. 379. 1x5 Problem 380RE: In the following exercises, simplify each expression using the properties for exponents. 380. 30 Problem 381RE: In the following exercises, simplify each expression using the properties for exponents. 381. y0 Problem 382RE: In the following exercises, simplify each expression using the properties for exponents. 382. (14t)0 Problem 383RE: In the following exercises, simplify each expression using the properties for exponents. 383.... Problem 384RE: In the following exercises, simplify each expression. 384. 62 Problem 385RE: In the following exercises, simplify each expression. 385. (10)3 Problem 386RE: In the following exercises, simplify each expression. 386. 524 Problem 387RE: In the following exercises, simplify each expression. 387. (8n)1 Problem 388RE: In the following exercises, simplify each expression. 388. y5 Problem 389RE: In the following exercises, simplify each expression. 389. 103 Problem 390RE: In the following exercises, simplify each expression. 390. 1a4 Problem 391RE: In the following exercises, simplify each expression. 391. 162 Problem 392RE: In the following exercises, simplify each expression. 392. 53 Problem 393RE: In the following exercises, simplify each expression. 393. (15)3 Problem 394RE: In the following exercises, simplify each expression. 394. (12)3 Problem 395RE: In the following exercises, simplify each expression. 395. (5)3 Problem 396RE: In the following exercises, simplify each expression. 396. (59)2 Problem 397RE: In the following exercises, simplify each expression. 397. (3x)3 Problem 398RE: In the following exercises, simplify each expression using the Product Property. 398. (y4)3 Problem 399RE: In the following exercises, simplify each expression using the Product Property. 399. (32)5 Problem 400RE: In the following exercises, simplify each expression using the Product Property. 400. (a 10)y Problem 401RE: In the following exercises, simplify each expression using the Product Property. 401. x3x9 Problem 402RE: In the following exercises, simplify each expression using the Product Property. 402. r5r4 Problem 403RE: In the following exercises, simplify each expression using the Product Property. 403. (uv3)(u4v2) Problem 404RE: In the following exercises, simplify each expression using the Product Property. 404. (m5)1 Problem 405RE: In the following exercises, simplify each expression using the Product Property. 405. p5p2p4 Problem 406RE: In the following exercises, simplify each expression using the Power Property. 406. (k 2)3 Problem 407RE: In the following exercises, simplify each expression using the Power Property. 407. q4q20 Problem 408RE: In the following exercises, simplify each expression using the Power Property. 408. b8b2 Problem 409RE: In the following exercises, simplify each expression using the Power Property. 409. n3n5 Problem 410RE: In the following exercises, simplify each expression using the Product to a Power Property. 410.... Problem 411RE: In the following exercises, simplify each expression using the Product to a Power Property. 411.... Problem 412RE: In the following exercises, simplify each expression using the Product to a Power Property. 412.... Problem 413RE: In the following exercises, simplify each expression using the Product to a Power Property. 413. (3y... Problem 414RE: In the following exercises, simplify each expression using the Quotient to a Power Property. 414. (3... Problem 415RE: In the following exercises, simplify each expression using the Quotient to a Power Property. 415. (... Problem 416RE: In the following exercises, simplify each expression using the Quotient to a Power Property. 416. (... Problem 417RE: In the following exercises, simplify each expression by applying several properties. 417.... Problem 418RE: In the following exercises, simplify each expression by applying several properties. 418. ( 3 a 2... Problem 419RE: In the following exercises, simplify each expression by applying several properties. 419. ( 3x y 3 4... Problem 420RE: In the following exercises, write each number in scientific notation. 420. 2.568 Problem 421RE: In the following exercises, write each number in scientific notation. 421. 5,300,000 Problem 422RE: In the following exercises, write each number in scientific notation. 422. 0.00814 Problem 423RE: In the following exercises, convert each number to decimal form. 423. 2.9104 Problem 424RE: In the following exercises, convert each number to decimal form. 424. 3.75101 Problem 425RE: In the following exercises, convert each number to decimal form. 425. 9.413105 Problem 426RE: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 426.... Problem 427RE: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 427.... Problem 428RE: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 428.... Problem 429RE: In the following exercises, multiply or divide as indicated. Write your answer in decimal form. 429.... Problem 430RE: In the following exercises, multiply the monomials. 430. (6p4)(9p) Problem 431RE: In the following exercises, multiply the monomials. 431. (13c2)(30c8) Problem 432RE: In the following exercises, multiply the monomials. 432. (8x2y5)(7xy6) Problem 433RE: In the following exercises, multiply the monomials. 433. (23m3n6)(16m4n4) Problem 434RE: In the following exercises, multiply. 434. 7(10x) Problem 435RE: In the following exercises, multiply. 435. a2(a29a36) Problem 436RE: In the following exercises, multiply. 436. 5y(125y31) Problem 437RE: In the following exercises, multiply. 437. (4n5)(2n3) Problem 438RE: In the following exercises, multiply the binomials using:(a) the Distributive Property (b) the FOIL... Problem 439RE: In the following exercises, multiply the binomials using: (a) the Distributive Property (b) the FOIL... Problem 440RE: In the following exercises, multiply the binomials using: (a) the Distributive Property (b) the FOIL... Problem 441RE: In the following exercises, multiply the binomials using:(a) the Distributive Property (b) the FOIL... Problem 442RE: In the following exercises, multiply the binomials. Use any method. 442. (n+8)(n+1) Problem 443RE: In the following exercises, multiply the binomials. Use any method. 443. (k+6)(k9) Problem 444RE: In the following exercises, multiply the binomials. Use any method. 444. (5u3)(u+8) Problem 445RE: In the following exercises, multiply the binomials. Use any method. 445. (2y9)(5y7) Problem 446RE: In the following exercises, multiply the binomials. Use any method. 446. (p+4)(p+7) Problem 447RE: In the following exercises, multiply the binomials. Use any method. 447. (x8)(x+9) Problem 448RE: In the following exercises, multiply the binomials. Use any method. 448. (3c+1)(9c4) Problem 449RE: In the following exercises, multiply the binomials. Use any method. 449. (10a1)(3a3) Problem 450RE: In the following exercises, multiply using (a) the Distributive Property (b) the Vertical Method.... Problem 451RE: In the following exercises, multiply using (a) the Distributive Property (b) the Vertical Method.... Problem 452RE: In the following exercises, multiply. Use either method. 452. (m+6)(m27m30) Problem 453RE: In the following exercises, multiply. Use either method. 453. (4y1)(6y212y+5) Problem 454RE: In the following exercises, square each binomial using the Binomial Squares Pattern. 454. (2xy2) Problem 455RE: In the following exercises, square each binomial using the Binomial Squares Pattern. 455. (x+34)2 Problem 456RE: In the following exercises, square each binomial using the Binomial Squares Pattern. 456. (8p33)2 Problem 457RE: In the following exercises, square each binomial using the Binomial Squares Pattern. 457. (5p+7q)2 Problem 458RE: In the following exercises, multiply each pair of conjugates using the Product of Conjugates. 458.... Problem 459RE: In the following exercises, multiply each pair of conjugates using the Product of Conjugates. 459.... Problem 460RE: In the following exercises, multiply each pair of conjugates using the Product of Conjugates. 460.... Problem 461RE: In the following exercises, multiply each pair of conjugates using the Product of Conjugates. 461.... Problem 462RE: In the following exercises, multiply each pair of conjugates using the Product of Conjugates. 462.... Problem 463RE: In the following exercises, divide the monomials. 463. 72p128p3 Problem 464RE: In the following exercises, divide the monomials. 464. 26a8(2a2) Problem 465RE: In the following exercises, divide the monomials. 465. 45y615y10 Problem 466RE: In the following exercises, divide the monomials. 466. 30x836x9 Problem 467RE: In the following exercises, divide the monomials. 467. 28a9b7a4b3 Problem 468RE: In the following exercises, divide the monomials. 468. 11u6v355u2v8 Problem 469RE: In the following exercises, divide the monomials. 469. (5m9n3)(8m3n2)(10mn4)(m2n5) Problem 470RE: In the following exercises, divide the monomials. 470. (42r2s4)(54rs2)(6rs3)(9s) Problem 471RE: In the following exercises, divide each polynomial by the monomial 471. (54y424y3)(6y2) Problem 472RE: In the following exercises, divide each polynomial by the monomial 472. 63x3y299x2y345x4y39x2y2 Problem 473RE: In the following exercises, divide each polynomial by the monomial 473. 12x2+4x34x Problem 474RE: In the following exercises, divide each polynomial by the binomial. 474. (4x221x18)(x6) Problem 475RE: In the following exercises, divide each polynomial by the binomial. 475. (y2+2y+18)(y+5) Problem 476RE: In the following exercises, divide each polynomial by the binomial. 476. (n32n26n+27)(n+3) Problem 477RE: In the following exercises, divide each polynomial by the binomial. 477. (a31)(a+1) Problem 478RE: In the following exercises, use synthetic Division to find the quotient and remainder. 478.... Problem 479RE: In the following exercises, use synthetic Division to find the quotient and remainder. 479.... Problem 480RE: In the following exercises, use synthetic Division to find the quotient and remainder. 480.... Problem 481RE: In the following exercises, divide. 481. For functions f(x)=x215x+45 and g(x)=x9 , find (a) (fg)(x)... Problem 482RE: In the following exercises, divide. 482. For functions f(x)=x3+x27x+2 and g(x)=x2 , find (a) (fg)(x)... Problem 483RE: In the following exercises, use the Remainder Theorem to find the remainder. 483. f(x)=x34x9 is... Problem 484RE: In the following exercises, use the Remainder Theorem to find the remainder. 484. f(x)=2x36x24 is... Problem 485RE: In the following exercises, use the Factor Theorem to determine if xcis a factor of the polynomial... Problem 486RE: In the following exercises, use the Factor Theorem to determine if xcis a factor of the polynomial... Problem 487PT: For the polynomial 8y43y2+1 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree? Problem 488PT: (5a2+2a12)(9a2+8a4) Problem 489PT: (10x23x+5)(4x26) Problem 490PT: (34)3 Problem 491PT: x3x4 Problem 492PT: 5658 Problem 493PT: (47a18b23c5)0 Problem 494PT: 41 Problem 495PT: (2y)3 Problem 496PT: p3p8 Problem 497PT: x4x5 Problem 498PT: (3x3)2 Problem 499PT: 24r3s6r2s7 Problem 500PT: ( x 4 y 9 x 3)2 Problem 501PT: (8xy3)(6x4y6) Problem 502PT: 4u(u29u+1) Problem 503PT: (m+3)(7m2) Problem 504PT: (n8)(n24n+11) Problem 505PT: (4x3)2 Problem 506PT: (5x+2y)(5x2y) Problem 507PT: (15xy335x2y)5xy Problem 508PT: (3x310x2+7x+10)(3x+2) Problem 509PT: Use the Factor Theorem to determine if x+3 a factor of x3+8x2+21x+18 . Problem 510PT: (a) Convert 112,000 to scientific notation. (b) Convert 5.25104 to decimal form. Problem 511PT: In the following exercises, simplify and write your answer in decimal form. 511. (2.4108)(2105) Problem 512PT: In the following exercises, simplify and write your answer in decimal form. 512. 91043101 Problem 513PT: In the following exercises, simplify and write your answer in decimal form. 513. For the function... Problem 514PT: In the following exercises, simplify and write your answer in decimal form. 514. For f(x)=2x23x5 and... Problem 515PT: In the following exercises, simplify and write your answer in decimal form. 515. For functions... Problem 516PT: In the following exercises, simplify and write your answer in decimal form. 516. A hiker drops a... format_list_bulleted