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

Q: Multiply both sides by (x² + 1)² and combine like terms. x² + 6x + 1 = (Ax + B)(x² + 1) + Cx + D =…

A: The given equation

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: FIND THE DOMAIN OF 1. ffx)= X²+5x+6 X² 5x+6

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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: Is X+2 a factor

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

A:

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: Divide. 2x? - 8х- 10 х - 2х- 15 3x? + 9x + 18 +5x +6 2x2 - 8x - 10 x² - 2x - 15 (Simplify your…

A:

Q: Show that (x-y) is a factor of (x2-7x2+14x-8) ,ccplete factors od expression

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Q: The number of polynomials having zeroes as -2 and 5 is

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: Given that 3x - 5 x²(x - 1) = A B x x² + C + x for some constant real x-1 numbers A, B and C. Find…

A:

Q: verify that 6A = 3(2A)

A: Here given  Thus

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

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Q: (x^2 + 2y^2)(3x+y) - (2y^2 - y)(-2x-y+1) b.) what is the value of n?

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Q: 5x+21x° -LX+Xナ4X+L

A:

Q: factor 3x^3+17x^2-54x+16 into linear factors, Give all factors in exact form.

A: Topic- algebraic factors

Q: How many zeros does the polynomial 3x2 + 2x + 1 have in Z6?  I thought it was three but that was…

A: Solution: Given Polynomial is  3x2+2x+1   over  ℤ6

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

A:

Q: Prove that if 8x-5=-2x-15 then -x=1

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

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Q: Decompose 52+7 x³ + 2x²-x-2

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Q: Show that  2x-3 is a factor of x+2x3-9x2+12

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Q: Factor.  -4x^2y - 4x^3 + 24y^2

A: GCF of the constant terms -4 , -4 and 24 is = - 4 For the variables, we do not have GCF.  So GCF= -4