Given the polynomial p(x) = x3 − 6x2 + 7x + 2. Homework Help ✎
What is p(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.)
Use (b) to find another factor.
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.