1. What is the remainder when a. − 3x^3+ 2x^2 − 5x + 8 is divided by x − 4 b. 4x^4 − x^3+ 12x^2 + 24 is divided by x + 3 2. Which of the following are factors of – x^3− 5x^2 − 3x + 9 a. x − 1 b. x − 3 c. x + 1 d. (x + 3)

Q: Factor.  5m^2 +45mn - 50n^2

A: The given expression is,

Q: Determine whether -6y^6+6y^5-2y^3+8y-7 is monomial,binomial,trinomial, or other polynomial

A: Given,           The polynomial is -6y6+6y5-2y3+8y-7.

Q: %3D

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

A:

Q: Write x7 - x as a product of linear factors over Z3. Do the same forx10 - x.

A: Consider the given polynomial, x7-x So, in Z3 it can be written as,…

Q: when adding three polynomials, P + Q + R the result is 2x ^ 2y and the polynomials P and Q are given…

A: Solution of the problem as follows

Q: Subtract and simplify. (11/12t^9 −1/15t^3 − 23/6t)−(1/12t^9 −1/3t^3−11/6t)

A:

Q: Use the strategy of your choice to multiply the following expressions. 3. 4. (2x- 3)(-x² + 5x -4) 5.…

A:

Q: Choose all factors of 21xy+18x+6xy^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A: Consider the expression

Q: Factor.  X^2 - 13 - 12x

A: To factorize the polynomial.

Q: Simplify √175x^6y^11 to the form a√b

A: I=175x6y11x=x12a.b=a×b

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: Which of the following polynomials is a difference of​ squares? A.49x^2+64 B.7x^2-8…

A:

Q: Pick all answer choices that are perfect square trinomials  A. x^2+16x+64 B. 4x^2-44x+121 C.…

A: To pick all answer choices that are perfect square trinomials.

Q: Determine the remainder, r, for (x - 3)(2x + 1) +r= - 4 - 5x + 2x^2 O r=1 r= 1 O r= -1 O r= 0 O none…

A:

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

A:

Q: Classify each of the following as a monomial , binomial , trinomial or polynomial .  A. x^3 - x…

A: The objective is to classify each of the following as monomial,binomial, trinomial and polynomial.

Q: Factor. 3y2 − 10y − 8

A: Given:3y2-10y-8=0

Q: Write x7 - x as a product of linear factors over Z3. Do the same for x10 - x.

A: Given: Z3. To Do: We have to write x7-x and x10-x as a product of linear factors over Z3.

Q: 5x+21x° -LX+Xナ4X+L

A:

Q: Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers?…

A: To express which of the following expressions can be written as (ax+b)(ax-b), where a and b are…

Q: Directions: Simplify each term by factoring. 1. 3rs 2. 12xy 3. 5x^2 4. 36x^2 5. 25x^2 6. 30x^2…

A: Given: 1. 3rs 2. 12xy 3. 5x^2 4. 36x^2 5. 25x^2 6. 30x^2 7. 5x^3 8. 24y^3 9. 9xy 10. 12x^4

Q: 8. -3x² + 6x+9

A: Solution:Here -3x2+6x+9

Q: Calculate (-3x*-5x²+x-12) + (x + 1) using long division. a. -3x² - 2x-2 remainder -10 b.…

A: We have to slove above polynomial questions

Q: Factor. z² - 4 © (z +^2)(z - 2) O (2- 2)2

A: We will have to use the difference of square formula  a2-b2=(a+b)(a-b)

Q: Find the quotient for 14x^2+31x+6/2x+5 using long division. Indicate the quotient with any…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.