### Home > PC3 > Chapter 8 > Lesson 8.3.5 > Problem 8-153

8-153.

Determine all roots of the polynomial *p*(*x*) = 2*x*^{5} – 9*x*^{4} – 6*x*^{3} + 28*x*^{2} + 28*x* + 5. Homework Help ✎

All of the rational roots will be of the form:

Graph the polynomial to determine which roots work. Then divide the polynomial by the corresponding factors.