Assignment attached

Name____________________________________________________________________________Date__________________________________ Algebra 2

Synthetic Substitution, Synthetic Division, Long Division Study Guide

Please show your work on all problems.

________________1. Use direct substitution to evaluate f(x) = 2x3 − 3x2 + 2x − 2 when x = 3

_________________2. Use synthetic substitution to evaluate f(x) = 2x3 − 3x2 + 2x − 2 when x = 3

__________________3. Use synthetic substitution to evaluate f(x) = x3 + x − 10 when x = 2

(Hint: Use a placeholder)

_________________________________________________4. Use long division to divide (x2 + 4x + 4) ÷ (x + 2)

_________5. Multiple Choice: What is the result of dividing x2 − 6 by x + 4

when using synthetic division. (Hint: Use a placeholder)

Show your work.

(A) x2 + x − 2

(B) x − 4

(C) x − 4 + 10

x + 4