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Factor. $\newline$ $7f^2 + 14f - 21$

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Factor quadratics

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Q. Factor.

\newline

7f^2 + 14f - 21

Identify Common Factor: First, look for a common factor in all terms. $7f^2 + 14f - 21$ can be divided by $7$ .
Divide by Common Factor: Divide each term by $7$ . $7f^2 \div 7 = f^2$ , $14f \div 7 = 2f$ , $-21 \div 7 = -3$ .
Write Expression with Common Factor: Write down the expression with the common factor taken out. $7(f^2 + 2f - 3)$ .
Factor Quadratic Inside Parentheses: Now, factor the quadratic inside the parentheses. $\newline$ Look for two numbers that multiply to $-3$ and add to $2$ .
Find Multiplying and Adding Numbers: The numbers are $3$ and $-1$ because $3 \times -1 = -3$ and $3 + (-1) = 2$ .
Write Factored Form: Write the factored form using these numbers. $7(f + 3)(f - 1)$ .

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