High School Math : Using FOIL

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #11 : Quadratic Equations And Inequalities

Expand \displaystyle (x+7)(x-2).

Possible Answers:

\displaystyle x^2+7x-2x-7

\displaystyle x^2+9

\displaystyle x^2-5x-14

\displaystyle x^2+5x-14

\displaystyle x^2-14x+5

Correct answer:

\displaystyle x^2+5x-14

Explanation:

To solve our given equation, we need to use FOIL (First, Outer, Inner, Last).

\displaystyle (x+7)(x-2)=x^2-2x+7x-14

Combine like terms.

\displaystyle (x+7)(x-2)=x^2+5x-14

Example Question #12 : Quadratic Equations And Inequalities

FOIL \displaystyle (x+1)(x-3).

Possible Answers:

\displaystyle x^2+2x-\frac{2}{3}

\displaystyle x^2+3x+4

\displaystyle x^2-2x-3

\displaystyle x^2+2x-\frac{1}{3}

\displaystyle x^2-4x-3

Correct answer:

\displaystyle x^2-2x-3

Explanation:

Remember FOIL stands for First Outer Inner Last.

\displaystyle (x+1)(x-3)=x^2+1x-3x-3

Combine like terms to get \displaystyle x^2-2x-3.

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