Factor. y^2 + 19y + 18 ____

Identify Coefficients: Identify the coefficients for y^2, y, and the constant term in the quadratic expression y^2 + 19y + 18. The coefficient of y^2 is 1 (a = 1), the coefficient of y is 19 (b = 19), and the constant term is 18 (c = 18).Find Multiplying Numbers: Find two numbers that multiply to the constant term, c (18), and add up to the coefficient of y, b (19). The two numbers that satisfy these conditions are 1 and 18 because 1 * 18 = 18 and 1 + 18 = 19.Write Factored Form: Write the quadratic expression y^2 + 19y + 18 as a product of two binomials using the numbers found in the previous step. The factored form is (y + 1)(y + 18).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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y^2 + 19y + 18

Identify Coefficients: Identify the coefficients for $y^2$ , $y$ , and the constant term in the quadratic expression $y^2 + 19y + 18$ . The coefficient of $y^2$ is $1$ ( $a = 1$ ), the coefficient of $y$ is $19$ ( $b = 19$ ), and the constant term is $18$ ( $y$ $0$ ).
Find Multiplying Numbers: Find two numbers that multiply to the constant term, $c (18)$ , and add up to the coefficient of $y$ , $b (19)$ . The two numbers that satisfy these conditions are $1$ and $18$ because $1 \times 18 = 18$ and $1 + 18 = 19$ .
Write Factored Form: Write the quadratic expression $y^2 + 19y + 18$ as a product of two binomials using the numbers found in the previous step. $\newline$ The factored form is $(y + 1)(y + 18)$ .