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

8-154.

The graph of **p****(****x****) =****x**^{3}+ 4**x**^{2}+**x****− 26 is shown at right. Homework Help ✎****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.**Determine all the real and complex zeros of

*p*(*x*). Then write*p*(*x*) in factored form.

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

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.