Download f x x 2 x 4x (3x 7 x) (14x 2 x x) (1 x ) (3x 2x 5) (3x

Honors Algebra 2
Unit 2 - Polynomials
2.7 – Test Review
Name: ____________________________________
Date: _______________
Use the following to review for you test. Work the Practice Problems on a separate sheet of paper.
What you need
to know & be
able to do
Things to remember
 Write all answers in
Standard Form
- Highest Exp to
Lowest
Classify
Polynomials
 Classify
Polynomials based
on Degree and #
terms


Adding and
Subtracting
Multiply
Polynomials
1. List all the names for:
Degree:
0 - _________________
3 - _________________
name by degree: ______________
4 - _________________
name by # terms: _____________
4 - _________________
(3x
5.
4.
2
7
x) (14x
(3x 2 )(2x 2
7. Find f(x)
9x
g(x)
3
2
6)
x
2
x)
(1 x 2 ) (3x 2
6. (x
y)(x 2
3
3)4
xy
8. Find g(x) f(x)
5
 KNOW Pascal’s
Triangle!!
4x 4
standard form: ________________
3.
 Distribute every
term
 Multiply numbers,
add exponents
4x 2
x2
2 - _________________
Adding:
 Combine like
terms
Subtracting:
 Distribute the
negative
 Combine like
terms
g x
2
constant: ______
3 - _________________
5x
x
2 - _________________
Constant – Term
without a variable
2x 2
f x
leading coefficient: ______
Number of terms:
1 - _________________
f x
2.
1 - _________________
9. (y
Binomial
Expansion
Problem
Leading Coeff –
First coeff in
standard form
Given:
Combing
Functions
Problem
10. (4z
5)3
2x
y2)
5)
Honors Algebra 2
Missing terms need
“0”
Synthetic Division
 Find value of
divisor
 Use coefficients
 Multiply and Add
 Answer – go
down 1 degree
Dividing
Polynomials
Factoring
Unit 2 - Polynomials
11.
(x
4
3x
3
2.7 – Test Review
7x 14) (x
4
14. (8x
2x 2
15. (6x 4
22x 3
12x
1x 2
9)
12. (4x 2
4)
(x 2
x
5x
1) (x
1)
3)
41x 17) (3x
5)
Long Division
 What makes ___?
 Multiply
 Subtract
 Bring Down
16. 30x 5
12x 4
33x 3
24x 2
21x 18) (5x 2
2x
3)