Question

1. simplify the polynomial expression $6x^2 + 4x - 7 + 3x^2 - 2x + 5$.

a. $9x^2 - 2x - 2$
b. $9x^2 + 2x - 2$
c. $6x^2 + 6x - 12$
d. $3x^2 + 2x - 12$

Explanation:

Step1: Group like terms

$(6x^2 + 3x^2) + (4x - 2x) + (-7 + 5)$

Step2: Combine $x^2$ terms

$6x^2 + 3x^2 = 9x^2$

Step3: Combine $x$ terms

$4x - 2x = 2x$

Step4: Combine constant terms

$-7 + 5 = -2$

Step5: Assemble simplified polynomial

$9x^2 + 2x - 2$

Answer:

b. $9x^{2}+2x-2$