Factor. t^2 + 13t + 22 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression t^2 + 13t + 22. The quadratic expression is in the form at^2 + bt + c, where a = 1, b = 13, and c = 22.Find two numbers: Find two numbers that multiply to c (22) and add up to b (13). We need to find two numbers that multiply to 22 and add up to 13. The numbers 2 and 11 satisfy these conditions because: 2 * 11 = 22 (product is c) 2 + 11 = 13 (sum is b)Write factored form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (t + 2)(t + 11), because: (t + 2)(t + 11) = t^2 + 2t + 11t + 22 = t^2 + 13t + 22

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Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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t^2 + 13t + 22

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $t^2 + 13t + 22$ . $\newline$ The quadratic expression is in the form $at^2 + bt + c$ , where $a = 1$ , $b = 13$ , and $b$ $0$ .
Find two numbers: Find two numbers that multiply to $c$ ( $22$ ) and add up to $b$ ( $13$ ). $\newline$ We need to find two numbers that multiply to $22$ and add up to $13$ . The numbers $2$ and $11$ satisfy these conditions because: $\newline$ $2 \times 11 = 22$ (product is $c$ ) $\newline$ $22$ $0$ (sum is $b$ )
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(t + 2)(t + 11)$ , because: $\newline$ $(t + 2)(t + 11) = t^2 + 2t + 11t + 22 = t^2 + 13t + 22$