Unit 3 Lesson 5

Solve the following problems on a separate piece of paper. Use your solutions to answer the following summary questions in your virtual notebook.

Example 1:
a.) Divide f(x) by g(x) using synthetic or polynomial division.

f(x) = x^3 - x^2 + 2x -1 g(x) = x + 3

b.) Find f(-3) when f(x) = x^3 - x^2 + 2x -1

Example 2:
a.) Divide f(x) by g(x) using synthetic or polynomial division.

f(x) = 2x^3 - 3x^2 + 4x -7 g(x) = x - 2

b.) Find f(2) when f(x) = 2x^3 - 3x^2 + 4x - 7

Example 3:
a.) Divide f(x) by g(x) using synthetic or polynomial division.

f(x) = 4x^3 - 9x^2 + 3x -10 g(x) = x + 2

b.) Find f(-2) when f(x) = 4x^3 - 9x^2 + 3x -10




Answers:

Example 1:
a.) (x+3)(x^2 - 4x + 14) + (-43)
b.) (-3)^3 - (-3)^2 + 2(-3) - 1 = -43

Example 2:
a.) (x-2)(2x^2 + x +6) + (5)

b.) 2(2)^3 - 3(2)^2 + 4(2) - 7 = 5

Example 3:
a.) (x+2)(4x^2 - 17x +37) + (-84)
b.) 4(-2)^3 - 9(-2)^2 + 3(-2) -10 = -84