CPM Homework Banner

Home > INT3 > Chapter 8 > Lesson 8.3.2 > Problem 8-121


Given the polynomial :

  1. Use the Remainder Theorem to determine .

    Divide the polynomial by . What is the remainder?

  2. Now use the Factor Theorem to determine one factor of . (See the Math Notes box in this lesson.)

    Since is the zero of the function. What is the corresponding factor?

  3. Use your answer to part (b) to determine another factor.

    Try using an area model. A 2 by 3 rectangle, labeled as follows: left edge, x, minus 2, interior top, left, x, cubed.

    Labels added: top edge, left, x, squared, interior bottom, left, negative 2, x, squared, interior top, middle, negative 4, x squared.

    Labels added: top edge, middle, negative 4, x, interior bottom, middle, 8, x, interior top, right, negative x.

    Labels added: top edge, right, negative 1, interior bottom, right, 2.

  4. What are all the solutions of ?

    See part (a) for one solution.

    Use the Quadratic Formula to find the solutions to