Question

what is the result of adding $3x^2 + 2x - 1$ and $-x^2 + 3x + 2$?
a. $4x^2 + 5x + 1$
b. $2x^2 + 6x - 3$
c. $2x^2 + 5x - 1$
d. $2x^2 + 5x + 1$

Explanation:

Step1: Group like terms

$(3x^2 - x^2) + (2x + 3x) + (-1 + 2)$

Step2: Combine $x^2$ terms

$3x^2 - x^2 = 2x^2$

Step3: Combine $x$ terms

$2x + 3x = 5x$

Step4: Combine constant terms

$-1 + 2 = 1$

Step5: Combine all results

$2x^2 + 5x + 1$

Answer:

d. $2x^2 + 5x + 1$