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

8-148.

Given the polynomial

*p*(*x*) =*x*^{3}− 6*x*^{2}+ 7*x*+ 2. Homework Help ✎What is

*p*(2)?Use the Remainder Theorem to find one factor of

*x*^{3}− 6*x*^{2}+ 7*x*+ 2. (See the Math Notes box in Lesson 8.3.2 above.)Use (b) to find another factor.

What are all the solutions of

*x*^{3}− 6*x*^{2}+ 7*x*+ 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.

(*x*^{2} − 4*x* − 1)

See part (a) for one solution.

Use the Quadratic Formula to find the solutions to 0 = *x*^{2} − 4*x* − 1.