PSAT Math : How to divide trinomials

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : How To Divide Trinomials

Find the quotient:

\displaystyle \frac{x^2+6x+9}{x+3}

Possible Answers:

\displaystyle \frac{x+9}{x}

\displaystyle x+2x+3

\displaystyle x-6

\displaystyle x+9

\displaystyle x+3

Correct answer:

\displaystyle x+3

Explanation:

Find the quotient:

\displaystyle \frac{x^2+6x+9}{x+3}

Step one: Factor the numerator

\displaystyle \frac{(x+3)(x+3)}{(x+3)}

Step two: Simplify

\displaystyle \frac{(x+3)(x+3)}{(x+3)}= x+3

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