Question

What is sum of the polynomials?

(–3x²+x-8) and (-2x²+2x+2)?
A) -5x² + 3x + 8
C) -5x + 3x +6 D) -5x +3x-6
B) Sx?

Answer 1

D).
`-5x^2+3x-6`

Explanation:

`\left(-3x^2+x-8\right)+\left(-2x^2+2x+2\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\\\=-3x^2+x-8-2x^2+2x+2\\\\\mathrm{Group\:like\:terms}\\\\=-3x^2-2x^2+x+2x-8+2\\\\\mathrm{Add\:similar\:elements:}\:-3x^2-2x^2=-5x^2\\\\=-5x^2+x+2x-8+2\\\\\mathrm{Add\:similar\:elements:}\:x+2x=3x\\\\=-5x^2+3x-8+2\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-8+2=-6\\\\=-5x^2+3x-6`

Answer 2

Option d is the answer