Factor. 2t^3 + t^2 - 20t - 10 ______

Group Terms: Group terms to find common factors. Group the first two terms and the last two terms separately. (2t^3 + t^2) + (-20t - 10)Factor Common Factors: Factor out the greatest common factor from each group. From the first group, factor out t^2. t^2(2t + 1) From the second group, factor out -10. -10(t + 1)Rewrite Expression: Rewrite the expression with the factored groups. t^2(2t + 1) - 10(t + 1)Find Common Binomial Factor: Look for a common binomial factor. Notice that there is no common binomial factor between (2t + 1) and (t + 1), so the expression cannot be factored further.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $2t^3 + t^2 - 20t - 10$

View step-by-step help

Full solution

Q. Factor.

\newline

2t^3 + t^2 - 20t - 10

Group Terms: Group terms to find common factors. $\newline$ Group the first two terms and the last two terms separately. $\newline$ $(2t^3 + t^2) + (-20t - 10)$
Factor Common Factors: Factor out the greatest common factor from each group. $\newline$ From the first group, factor out $t^2$ . $\newline$ $t^2(2t + 1)$ $\newline$ From the second group, factor out $-10$ . $\newline$ $-10(t + 1)$
Rewrite Expression: Rewrite the expression with the factored groups. $t^2(2t + 1) - 10(t + 1)$
Find Common Binomial Factor: Look for a common binomial factor. $\newline$ Notice that there is no common binomial factor between $(2t + 1)$ and $(t + 1)$ , so the expression cannot be factored further.