Factor. z^2 + 5z + 4 ____

Identify Coefficients: Identify the coefficients for z^2, z, and the constant term in the quadratic expression z^2 + 5z + 4. The coefficient of z^2 is 1 (a = 1), the coefficient of z is 5 (b = 5), and the constant term is 4 (c = 4).Find Multiplying Numbers: Find two numbers that multiply to give the constant term, c = 4, and add up to the coefficient of z, b = 5. The numbers 1 and 4 multiply to give 4 (1 * 4 = 4) and add up to 5 (1 + 4 = 5).Write Factored Form: Write the factored form of the quadratic expression using the two numbers found in the previous step. The factored form is (z + 1)(z + 4).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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z^2 + 5z + 4

Identify Coefficients: Identify the coefficients for $z^2$ , $z$ , and the constant term in the quadratic expression $z^2 + 5z + 4$ . The coefficient of $z^2$ is $1$ ( $a = 1$ ), the coefficient of $z$ is $5$ ( $b = 5$ ), and the constant term is $4$ ( $z$ $0$ ).
Find Multiplying Numbers: Find two numbers that multiply to give the constant term, $c = 4$ , and add up to the coefficient of $z$ , $b = 5$ . The numbers $1$ and $4$ multiply to give $4$ ( $1 \times 4 = 4$ ) and add up to $5$ ( $1 + 4 = 5$ ).
Write Factored Form: Write the factored form of the quadratic expression using the two numbers found in the previous step. $\newline$ The factored form is $(z + 1)(z + 4)$ .