Question

Which answer is equal to the quotient in the expression below?

2x^4 - 6x^3 + 5x^2- 3x + 2 ÷ x - 2

A. 2x^3 + 2x^2 - x + 1
B. 2x^4 - 2x^3 + x^2 + x
C. 2x^3 - 2x^2 + x - 1
D. 2x^3 - 2x^2 + x + 1

Answer 1

FIRST section: x^2-3x+2 = x^2-x-2x+2=(x^2-x) -2x+2 = (x^2-x) -2(x-a million) = x(x-a million) -2(x-a million) = (x-2)(x-a million) 2nd section: x^-4 = x^2- 2^2 = (x-2)(x+2) So now your equation looks like this: FIRST section / 2nd section or (x-2)(x-a million) / (x-2)(x+2) and this comes out at (x-a million) / (x+2), so the respond is B.