For Exercises 25-26, use the factor theorem to determine if the given binomial is a factor of the polynomial. 25. f(x) = x' + 4x² + 9x + 36 а. х + 4 b. х — Зі 26. f(х) — х — 4х — 46 b. х — (2 — 5V2) а. х + 2

Q: For Exercises 47-54, use the remainder theorem to determine if the given number e is a zero of the…

A: We’ll answer the only one question since the exact one wasn’t specified. Please submit a new…

Q: Factor the polynomial completely. 5xу- 11ху + бу Select the correct choice below and, if necessary,…

A: According to the problem, we have

Q: Č. Add/ Subtract the given polynomials 1. 2а - 5b + a+4b 2. 5а- 4b - Зс - (3a – 7b + 2c

A:

Q: 1. When the polynomial 6x -ar' + bx² +3x+4 is divided by x+1 the remainder is 10. When it's divided…

A:

Q: 21. m* – 625 = 0 4 5012 40 - 0

A:

Q: In Exercises 69-78, factor each polynomial. 69. ab - с — ас + b 70. ab - Зс — ас + 3b 71. х - 5 +…

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: х2 - 6х + 5 (-) 3x²- 2x – 2 8. Зу? - 2у - 1 | (-) - 5y²- 2y + 6 9. (7а + 6b - 9с) - (За - 6с)

A: To subtract the given polynomials.

Q: 2. Write y=x+-13x²+36 in factored form. А. у- (x-6) (х2-6) В. у- (х-3) (х+3)(*-2)(х+2) C. y=…

A: According to question,Given expression,y = x4 -13 x2 +36

Q: f (x) = x³ – 3x² – 3x +

A: We are asked to factor the polynomial

Q: A. x3 + 4x2 – 5x +9 I. Fifth-degree polynomial B. 5a?b3 II. Constant term of -2 C. 3x4 – 9x3 + 4x°…

A: Match the polynomial in the left column with its descriptive feature in the right column,   A.…

Q: (3m ^ 5 + m - 1) / (m + 1) divide polynomials using synthetic division

A: We have to Divide the polynomial using synthetic division   Given polynomial (3m5+m-1)/(m+1)

Q: In Exercises 15-27, multiply the polynomials. 15. (4x yz)(-3x+yz?) 16. a( - 4r* - 2) 17. 7xy (3x*y?…

A: The multiplication of two algebraic  expression is done by multiplying each terms of one expression…

Q: Select the correct number of roots for each polynomial. 4x2 + x – 1 – 3x+ [Select] | Зх — 8 + 9х […

A:

Q: 4. When Eric multiplied two binomials together, his result was a trinomial. An example is (x + 2)(x…

A: Given,  Eric concluded that product of any two binomials is a trinomial.  We have to find the option…

Q: (2x ^ 3 + 4x - 6)/(x + 3)

A: Solve : 2x3+4x-6x+3

Q: Given a polynomial and one of its factors, find the remaining factors of the polynomial. 133.…

A:

Q: Factor the polynomial equation n ^ 4 - 49n ^ 2 = 0

A:

Q: 13. (4а - 3b) - (5а — 2b) 14. (2c + 3d) – (-6d – 5c) 15. 2 (5x² + 6x – 9) – (x² – 3x +7)

A:

Q: Let P(x)=x³-2x²-11x+12 Show that x-c is a factor of P(x) if c=-3 of P(x) if c=-3- Use this fact to…

A:

Q: 4p* – 17p² + 14p – 3 23. 2р - 3

A:

Q: 5. (5x? - 2x - 1) - (3x² - 5x + 7) = 6. -(3z + 4z) - (6z² - 2) = Multiplying Polynomials 7. 6n°(5n²…

A: 5) (5x2-2x-1)-(3x2-5x+7)=5x2-2x-1-3x2+5x-7(5x2-2x-1)-(3x2-5x+7)=2x2+3x-8 6)…

Q: P(x)=x²-3x²-2x+4, which statement is Given true? A) (x-1) is a factor because P(-1) = 2. (x+1) is a…

A:

Q: 35. Consider the polynomial xy + 27xyt + x²y+ 3xy². a) One factor of the polynomial x + 27y is x +…

A:

Q: O A. 9.3 3 1 1 13 9 O B. ±1,+3,+2, +±9, +6, ± 18, ± 3.+5.622+3 O C. 9 2 O D. -9.5 3 Choose the…

A:

Q: In Exercises 35-36, divide the polynomial by the топоmial. 35. (15.x3 – 30x2 + 10x – 2) ÷ (5.x2) 36.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Which polynomial has (x + 1) as a factor? а. т3 + 2а? —19х—20 b. z3—21х + 20 с. 23 + 8х + 11х—20 d.…

A: We have to check which equation gives us 0 when we put as x=-1

Q: What is the factored form of x2+11x+14

A: Given : 2x2 + 11x + 14

Q: 35. How many times is 2 a root of x6 - 9x4 + 24x² - 16 = 0?

A: Given equation x6-9x4+24x2-16=0

Q: (Зх — Зу) (х + 5у) (3х

A:

Q: 15. Factor the polynomial. 1252 + 27 O (5x – 3)(25x² +15z – 9) О б2 + 3) (2527 -152 + 9) О(ба — 3)…

A:

Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6)…

A: