Combine like terms: To add the polynomials, we combine like terms, which are terms that have the same variable raised to the same power.(10x2+5x−3)+(77x2−2x+7)We will add the coefficients of x2 terms, the coefficients of x terms, and the constant terms separately.
Add x2 terms: First, we add the x2 terms:10x2+77x2=87x2
Add x terms: Next, we add the x terms: 5x−2x=3x
Add constant terms: Finally, we add the constant terms: −3+7=4
Combine simplified terms: Now, we combine all the simplified terms to get the final answer: 87x2+3x+4
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