How to subtract polynomials

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SAT Math › How to subtract polynomials

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Simplify the following expression:

$(2q^{2}+4q+7)-(3q^{2}-5)$

$-q^{2}+4q+12$

CORRECT

$-3q^{2}+12$

$-5q^{2}+4q+2$

This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.

Add like terms together:

$2q^{2}-3q^{2}=-1q^{2}=-q^2$

has no like terms.

Combine these terms into one expression to find the answer:

$-q^{2}+4q+12$