### Home > PC3 > Chapter 8 > Lesson 8.3.5 > Problem8-153

8-153.

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

All of the rational roots will be of the form: $\pm\frac{\text{factors of }5}{\text{factors of }2}$

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