Question

find the sum of these polynomials.
$(x^2 - x + 7) + (9x^2 + 6) =$

a. $9x^2 - x + 1$
b. $10x^2 - x + 1$
c. $10x^2 - x + 13$
d. $9x^2 - x + 13$

Explanation:

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

The \(x^2\) terms are \(x^2\) and \(9x^2\). Adding them: \(x^2 + 9x^2 = 10x^2\)

Step2: The \(x\) term

There's only one \(x\) term, \(-x\), so it remains \(-x\)

Step3: Combine constant terms

The constant terms are \(7\) and \(6\). Adding them: \(7 + 6 = 13\)

Step4: Combine all terms

Putting it together: \(10x^2 - x + 13\)

Answer:

C. \(10x^2 - x + 13\)