Question

adding and subtracting polynomials
score: 0/2 penalty: 0.25 off
question
perform the operation.
$(x^2 + x - 2) + (-2x^2 - 9x - 7)$
answer attempt 1 out of 2
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Explanation:

Step1: Remove parentheses

To add the polynomials, we first remove the parentheses. The expression is \((x^{2}+x - 2)+(-2x^{2}-9x - 7)\), so we can rewrite it as \(x^{2}+x - 2-2x^{2}-9x - 7\).

Step2: Combine like terms

• For the \(x^{2}\) terms: \(x^{2}-2x^{2}=(1 - 2)x^{2}=-x^{2}\)
• For the \(x\) terms: \(x-9x=(1 - 9)x=-8x\)
• For the constant terms: \(-2-7=-9\)

Combining these results, we get \(-x^{2}-8x - 9\).

Answer:

\(-x^{2}-8x - 9\)