### Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-41

9-41.

Algebraically determine all of the roots of the polynomial function $p(x) = x^5 − 3x^4 + 12x^3 − 28x^2 + 27x − 9$. Homework Help ✎

The rational roots will be factors of $9$.

Graphing the polynomial reveals that $x = 1$ is a triple root.
Therefore, divide out the factor $(x − 1)$ three times.