### Home > INT3 > Chapter 8 > Lesson 8.3.2 > Problem 8-113

8-113.

The graph of*p*(*x*) =*x*^{3}+ 4*x*^{2}+*x*– 26 is shown at right. Homework Help ✎Use the graph to determine one solution to

*p*(*x*) = 0, then use the Factor Theorem to write a factor of*p*(*x*). Read about the Factor Theorem in the Math Notes box in this lesson.Determine all the factors and roots of

*p*(*x*), including any with complex coefficients.

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

Divide the factor from part (a) into *p*(*x*) to obtain a quadratic factor.

Then use the Quadratic Formula to find the roots.

Use the roots write the associated factors.