Given that x² + x 6 is a factor of 2x* find the values of a and b. +x³-ax²+bx+a+b-1, -

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: -q - -p is equivalent to A qV-p В -qV p ЧА-Р D ЧАР

A: The given statement -q→-p. We have to find the equivalent statement.

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

A:

Q: Use factorization to simplify as much as possible: 7- 22 4

A:

Q: Write the polynomial z^4− 81 in factored form.

A: We will use the formula a2-b2 = (a+b)(a-b) Consider               z4-81 = (z2+9)(z2-9) =…

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: 6xv112 – 6v7x²

A: we use  √ab=√a X √b

Q: Find U and V an then factor the expression 9x^2-4y^6

A: Given the expression is 9x2-4y6

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: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

A:

Q: –11p + 2q + 8p 2q

A: Here we have to simplify the term:   -11p+2q+8p 2q =0

Q: A factor of -64 + x^2 is: О х- 2 O x-4 х-4 O x-8 X - O O

A:

Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

Q: Add the two polynomials.Simplify your answer. (-3y^4+6y^2+7) and (10y^4-7y^2-2y-4)

A: We need to add the following two polynomials -3y4+6y2+7 and 10y4-7y2-2y-4

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: Which of the following factors will cancel in the expression shown below? (Select all that apply.)…

A: In a given fraction, if both the numerator and denominator has a common factor, then the factor can…

Q: 5x + 26х+5

A: The objective is to factor the given polynomial.

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: Factor 25y+200y* completely. 25y+200y =O

A:

Q: 5x+21x° -LX+Xナ4X+L

A:

Q: 1. Divide (x³x² - 2x + 2) by (x - 1) 23 k Multiply to check your result. 2x 2 8 1

A: Divide the above question

Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: Factor -> 4y2 − 25y + 25

A: To factorize the polynomial.

Q: x +10x +16 x+3 x? +2x-15 6 -6x-16 x² -9 x +4x -5 x+8 x² -64 5.

A:

Q: verify that 3(A + B) = 3A + 3B

A:

Q: Examine whether x+ 2 is a factor of x3+3x2+5x+6 and of 2x+4

A: