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Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem 8-148

8-148.
  1. Given the polynomial p(x) = x3 − 6x2 + 7x + 2. Homework Help ✎

    1. What is p(2)?

    2. Use the Remainder Theorem to find one factor of x3 − 6x2 + 7x + 2. (See the Math Notes box in Lesson 8.3.2 above.)

    3. Use (b) to find another factor.

    4. What are all the solutions of x3 − 6x2 + 7x + 2 = 0?

Substitute 2 into the equation for every x.

Since p(2) = 0, x = 2 is the zero of the function. What is the corresponding factor?

(x − 2)

Try using a generic rectangle.

(x2 − 4x − 1)

See part (a) for one solution.

Use the Quadratic Formula to find the solutions to 0 = x2 − 4x − 1.