Factor. 2p^2 - 40p + 38 ____

Find GCF: First, look for a greatest common factor (GCF) that can be factored out from all terms. GCF of 2p^2, -40p, and 38 is 2. Factor out the GCF: 2(p^2 - 20p + 19).Factor out GCF: Now, factor the quadratic inside the parentheses. We need two numbers that multiply to 2 * 19 (since the leading coefficient is 2) and add up to -20. The numbers are -1 and -38.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $2p^2 - 40p + 38$

View step-by-step help

Full solution

Q. Factor.

\newline

2p^2 - 40p + 38

Find GCF: First, look for a greatest common factor (GCF) that can be factored out from all terms. $\newline$ GCF of $2p^2$ , $-40p$ , and $38$ is $2$ . $\newline$ Factor out the GCF: $2(p^2 - 20p + 19)$ .
Factor out GCF: Now, factor the quadratic inside the parentheses. $\newline$ We need two numbers that multiply to $2 \times 19$ (since the leading coefficient is $2$ ) and add up to $-20$ . $\newline$ The numbers are $-1$ and $-38$ .