Factor. q^2 + 3q + 2 ______

Identify Variables: Identify a, b, and c in the quadratic expression q^2 + 3q + 2. The quadratic expression is in the standard form q^2 + bq + c, where a = 1, b = 3, and c = 2.Find Two Numbers: Find two numbers that multiply to c (which is 2) and add up to b (which is 3). The two numbers that satisfy these conditions are 1 and 2 because 1 * 2 = 2 and 1 + 2 = 3.Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (q + 1)(q + 2).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $q^2 + 3q + 2$

View step-by-step help

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

q^2 + 3q + 2

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $q^2 + 3q + 2$ . The quadratic expression is in the standard form $q^2 + bq + c$ , where $a = 1$ , $b = 3$ , and $c = 2$ .
Find Two Numbers: Find two numbers that multiply to $c$ (which is $2$ ) and add up to $b$ (which is $3$ ). $\newline$ The two numbers that satisfy these conditions are $1$ and $2$ because $1 \times 2 = 2$ and $1 + 2 = 3$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(q + 1)(q + 2)$ .