how do you factor polynomials this problem

Question

this is the problem 3p^3-21p^2-p+7

Answer 1

Organize your polynomial in 2 groups: (3p^3 - 21p^2) - (p - 7) Now, factor the first group by GCF: 3p^2(p - 7) - (p - 7) Notice that (p - 7) is a common factor, then factor again by GCF: (p - 7)(3p^2 - 1) Finally, rearrange your answer: (3p^2 - 1)(p - 7)