For questions 1-3, factor and solve completely.
Name: ______________________________________________ Hour: ______
1. f(x) = x 2 + 5x − 14
2. f(x) = x 4 − 3x 2 − 4
3. f(x) = x 4 + 7x 2 − 30
Factored Form:
Factored Form:
Factored Form:
Solutions:
Solutions:
Solutions:
x= ________ & _______
x= ______ & _______ & ______ &______
x= ______ & _______ & ______ &______
For questions 4-5, use the polynomial given to answer the following questions.
4. f(x) = x 3 + 8x 2 + 19x + 12
5. f(x) = x 3 + 3x 2 − 4x − 12
a) Given that x+3 is a factor, write the function in
factored form.
a) Given that x+3 is a factor, write the function in
factored form.
Factored Form:
Factored Form:
b) What are the solutions to the polynomial?
b) What are the solutions to the polynomial?
Name: ______________________________________________ Hour: ______
For questions 6-7, graph the polynomial on the calculator to find one of the roots. Then, use synthetic
division to factor it out.
6. f(x) = x 3 + 2x 2 + 4x + 8
7. f(x) = x 3 − 5x 2 + 25x − 125
Factor I found on the calculator:
Factor I found on the calculator:
Factored Form: (
)(
)
Factored Form: (
)(
Solutions: (Show all work here)
Solutions: (Show all work here)
x= _________ & _________ & __________
x= _________ & _________ & __________
)