Question

problem 11:
select the fully simplified form of this expression.
$-8x^{2} + 2x - 7x^{2} + 9x$
after you pick your answer press go.
a. $-x^{2} + (-7x)$
b. $-15x^{2} + 18x$
c. $-15x^{2} + 11x$
d. $56x^{4} + 18x^{2}$
e. $x^{2} + 11x$

Explanation:

Step1: Combine like terms for \(x^2\)

We have \(-8x^2\) and \(-7x^2\). Combining them: \(-8x^2 - 7x^2 = (-8 - 7)x^2 = -15x^2\)

Step2: Combine like terms for \(x\)

We have \(2x\) and \(9x\). Combining them: \(2x + 9x = (2 + 9)x = 11x\)

Step3: Write the simplified expression

Putting the combined terms together, we get \(-15x^2 + 11x\)

Answer:

C. \(-15x^2 + 11x\)