### Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem8-154

8-154.

The graph of $p(x) = x^3 + 4x^2 + x - 26$ is shown at right

1. Use the graph to find one solution to$p(x) = 0$, then use the Factor Theorem to find a factor of $p(x)$. Read about the Factor Theorem in the Math Notes box in this lesson.

Where does the graph cross the $x$-axis? What is the associated factor?

2. Determine all the real and complex zeros of $p(x)$

Divide the factor from part (a) into $p(x)$ to find a quadratic factor.
Then use the Quadratic Formula to find the roots.
Use the roots to write the associated factors.