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

8-113.
  1. The graph of p(x) = x3 + 4x2 + x – 26 is shown at right. Homework Help ✎

    1. 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.

    2. 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.