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