Factor. f^2 + 7f + 6 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression f^2 + 7f + 6. The quadratic expression is in the standard form af^2 + bf + c, where a = 1, b = 7, and c = 6.Find Numbers for c and b: Find two numbers that multiply to c (which is 6) and add up to b (which is 7). The two numbers that satisfy these conditions are 1 and 6 because: 1 * 6 = 6 (product equals c) 1 + 6 = 7 (sum equals b)Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (f + 1)(f + 6).

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Factor. $\newline$ $f^2 + 7f + 6$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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f^2 + 7f + 6

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $f^2 + 7f + 6$ . $\newline$ The quadratic expression is in the standard form $af^2 + bf + c$ , where $a = 1$ , $b = 7$ , and $b$ $0$ .
Find Numbers for $c$ and $b$ : Find two numbers that multiply to $c$ (which is $6$ ) and add up to $b$ (which is $7$ ). $\newline$ The two numbers that satisfy these conditions are $1$ and $6$ because: $\newline$ $1 \times 6 = 6$ (product equals $c$ ) $\newline$ $b$ $0$ (sum equals $b$ )
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(f + 1)(f + 6)$ .