Factor. g^2 + 14g + 13 ____

Identify Coefficients: Identify the coefficients for g^2, g, and the constant term in the quadratic expression g^2 + 14g + 13. The coefficient of g^2 is 1 (a = 1), the coefficient of g is 14 (b = 14), and the constant term is 13 (c = 13).Find Two Numbers: We need to find two numbers that multiply to give the product of a*c (1*13 = 13) and add up to b (14). The numbers that satisfy these conditions are 1 and 13 because 1*13 = 13 and 1+13 = 14.Write Factored Form: Write the factored form using the two numbers found in the previous step. The factored form of the quadratic expression is (g + 1)(g + 13).

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

g^2 + 14g + 13

Identify Coefficients: Identify the coefficients for $g^2$ , $g$ , and the constant term in the quadratic expression $g^2 + 14g + 13$ . The coefficient of $g^2$ is $1$ ( $a = 1$ ), the coefficient of $g$ is $14$ ( $b = 14$ ), and the constant term is $13$ ( $g$ $0$ ).
Find Two Numbers: We need to find two numbers that multiply to give the product of $a*c$ ( $1*13 = 13$ ) and add up to $b$ ( $14$ ). $\newline$ The numbers that satisfy these conditions are $1$ and $13$ because $1*13 = 13$ and $1+13 = 14$ .
Write Factored Form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression is $(g + 1)(g + 13)$ .