Question

find the sum of these polynomials
(x2 – x + 7) + (9x2 + 6) =

A. 9x2 – x + 1
B. 10x2 – x + 13
C. 10x2 – x + 1
D. 9x2 – x + 13

Answer 1

Hi there! The answer is B.

$( {x}^{2} - x + 7) + (9 {x}^{2} + 6)$
First we work out the parenthesis, which is easy because we can just remove them.

${x}^{2} - x + 7 + 9 {x}^{2} + 6$
Now rearrange our expression (in order to collect terms later).

${x}^{2} + 9 {x}^{2} - x + 7 + 6$
Next up is collecting the terms.

$10 {x}^{2} - x + 13$
The answer is B.

~ Hope this helps you!