Question

Which polynomial is equivalent to (x^2-6x^4+4x^3-2x)+(4x-5x^2+4x^3-6x^4)

A. -4x^2+2x
B. -x^4+8x^3-4x^3-2x
C. -x^3-2x^2-2x
D. -12x^4+8x^3-4x^+2x
E. -12x^4-x^3-2x^2-6x

Answer 1

D

Explanation:

We simply simplify and add the like terms in the problem given:

`(x^2-6x^4+4x^3-2x)+(4x-5x^2+4x^3-6x^4)\\=x^2-6x^4+4x^3-2x+4x-5x^2+4x^3-6x^4\\=-12x^4+8x^3-4x^2+2x`

Here, we added the x^4 terms, the x^3 terms, the x^2 terms, and the x terms to arrive at our answer.

Looking at the choices, D matches ours, so D is the correct answer.