Factor. d^2 + 15d + 14 ____

Identify b and c: Identify b and c in the quadratic expression d^2 + 15d + 14. Compare d^2 + 15d + 14 with the standard quadratic form x^2 + bx + c. Here, b = 15 and c = 14.Find two numbers: Find two numbers whose product is c (14) and whose sum is b (15). We need to find two numbers that multiply to 14 and add up to 15. The numbers 1 and 14 satisfy these conditions because: 1 * 14 = 14 (product) 1 + 14 = 15 (sum)Write factored form: Write the factored form using the two numbers found in Step 2. The quadratic expression d^2 + 15d + 14 can be factored as (d + 1)(d + 14).

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Factor. $\newline$ $d^2 + 15d + 14$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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d^2 + 15d + 14

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $d^2 + 15d + 14$ . Compare $d^2 + 15d + 14$ with the standard quadratic form $x^2 + bx + c$ . Here, $b = 15$ and $c = 14$ .
Find two numbers: Find two numbers whose product is $c$ ( $14$ ) and whose sum is $b$ ( $15$ ). We need to find two numbers that multiply to $14$ and add up to $15$ . The numbers $1$ and $14$ satisfy these conditions because: $1 \times 14 = 14$ (product) $1 + 14 = 15$ (sum)
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The quadratic expression $d^2 + 15d + 14$ can be factored as $(d + 1)(d + 14)$ .