Factor. 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 ÷ 7 = f^2, 14f ÷ 7 = 2f, -21 ÷ 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. 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 * -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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Algebra 2

Factor quadratics

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Q. Factor.

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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. $7(f + 3)(f - 1)$ .