Factor. s^2 + 5s + 4 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression s^2 + 5s + 4. Compare s^2 + 5s + 4 with the standard quadratic form ax^2 + bx + c. Here, a = 1, b = 5, and c = 4.Find Multiplying Numbers: Find two numbers that multiply to c (which is 4) and add up to b (which is 5). We are looking for two numbers whose product is 4 and whose sum is 5. The numbers 1 and 4 satisfy these conditions because: 1 * 4 = 4 and 1 + 4 = 5.Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (s + 1)(s + 4).

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

s^2 + 5s + 4

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $s^2 + 5s + 4$ . Compare $s^2 + 5s + 4$ with the standard quadratic form $ax^2 + bx + c$ . Here, $a = 1$ , $b$ $0$ , and $b$ $1$ .
Find Multiplying Numbers: Find two numbers that multiply to $c$ (which is $4$ ) and add up to $b$ (which is $5$ ). $\newline$ We are looking for two numbers whose product is $4$ and whose sum is $5$ . $\newline$ The numbers $1$ and $4$ satisfy these conditions because: $\newline$ $1 \times 4 = 4$ and $1 + 4 = 5$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(s + 1)(s + 4)$ .