Algebra II
Chapter 6 Test (6.1-6.4)
Version A
Name:________________________
Period:________________________
Date:_________________________
No graphing calculators may be used on this test. Show all your work!
For 1-3, write each polynomial in standard form. Then classify it by degree
and number of terms.
2
1) 5  3x  2 x  x  2
Polynomial:_____________________(3)
Degree:____________(1)
Name:_____________(1)
3
3
2
2) ( x  x  5)  (2 x  x  7)
3) x(x + 5)(x – 5)
Polynomial:_____________________(3)
Degree:____________(1)
Name:_____________(1)
Polynomial:_____________________(3)
Degree:____________(1)
Name:_____________(1)
For 4 and 5, find the zeros and their multiplicities for the polynomials.
4) x 2 ( x  3)(2 x  1)
zeros and their multiplicities:
_________________________
_______________________(5)
4
3
2
5) x  5 x  6 x
zeros and their multiplicities:
_________________________
_______________________(5)
6) Write the polynomial that has these zeros in factored form, then convert
to standard form.
zero: 0 multiplicity 2
factored form:_________________(3)
zero: 5 multiplicity 2
standard form:________________(2)
2
7) Divide 6 x  29 x  35 by (2x-5)
Quotient:____________________(5)
Is (2x-5) a factor of 6 x 2  29 x  35 ?_________(1)
8) Divide 3x 2  15 by (x+2)
Quotient:____________________(5)
2
Is (x+2) a factor of 3x  15 ?________(1)
9) Factor this polynomial: 27 x 3  125
Factored form:__________________________(5)
10) Factor this polynomial: 5 x 3  40
Factored form:__________________________(5)
11) Solve this equation: 8 x  27
State your answer in simplified form
3
x=_____________________(10)
4
2
12) Factor this polynomial: x  7 x  18
Factored form:_____________________(5)
13) Solve this equation: x  9 x  20  0
State your answer in simplified form.
x=_____________________(10)
4
Extra credit: Some ducks were walking down a path. There was a duck in
front of two ducks, a duck behind two ducks, and a duck between two
ducks. How many ducks were there in all? .