Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $2p^3 - p^2 - 14p + 7$

View step-by-step help

View step-by-step help

Factor by grouping

Full solution

Q. Factor.

\newline

2p^3 - p^2 - 14p + 7

Grouping for Factoring: Group terms to facilitate factoring by grouping. We can group the terms as follows: $2p^3 - p^2$ and $-14p + 7$ .
Factor Common Terms: Factor out the greatest common factor from each group. $\newline$ From the first group $2p^3 - p^2$ , we can factor out $p^2$ , which gives us $p^2(2p - 1)$ . $\newline$ From the second group $-14p + 7$ , we can factor out $-7$ , which gives us $-7(2p - 1)$ .
Write Factored Form: Write the factored form of the polynomial. $\newline$ We notice that $(2p - 1)$ is a common factor in both groups, so we can factor it out. $\newline$ The factored form of the polynomial is $(2p - 1)(p^2 - 7)$ .

More problems from Factor by grouping

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

4x^3 - 6x^2

\newline

Posted 2 months ago

Question

x^4 + 8x^2 + 16

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

Find the binomial that completes the factorization.

\newline

t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)

Posted 2 months ago

Question

\newline

g^2 - 11g + 18

Posted 2 months ago

Question

\newline

2y^3 - y^2 + 16y - 8

\newline

\newline

Posted 2 months ago

Question

\newline

2x^8 + 7x^2

\newline

Posted 3 months ago

Question

\newline

9y^{12} + 4y^5 - y^2

\newline

Posted 3 months ago

Question

\newline

6a^4 + 3a^3 - a + 2

\newline

Posted 3 months ago

Question

\newline

4c^7 - 2c^5 + c^2 - 5

\newline

Posted 3 months ago

Question

\newline

7m^9 + 2m^6 - m^3 + 4m - 10

\newline

Posted 3 months ago