Algebra II
Chapter 6 Test (6.1-6.4)
Version B
Name:______________
Date:________
Period:____
For 1-3, write each polynomial in standard form. Then classify it by degree
and number of terms.
1)
 4 x 2  3x  3x 2  2 x  9
1. Polynomial:___________________(+2)
Degree:____________ (+1)
Name:_____________ (+1)
2)
(3x 3  x  3)  (6 x 3  x 2  7)
2. Polynomial:___________________(+2)
Degree:____________ (+1)
Name:_____________ (+1)
3)
x 2 ( x  3)( x  3)
3. Polynomial:___________________(+2)
Degree:____________ (+1)
Name:_____________ (+1)
4) x( x  3)( x  5)(3 x  6)
4. Polynomial:___________________(+2)
Degree:____________ (+1)
Name:_____________ (+1)
For 5 and 6, find the zeros and their multiplicities for the polynomials.
5)
x 2 ( x  3)(2 x  1)
5) x
3
( x  4)(3x  2)
5. zeros and their multiplicities:
_________________________
_______________________(+3)
6)
x 4  3x 3  10 x 2
6. zeros and their multiplicities:
_________________________
_______________________(+3)
7) Write the polynomial that has these zeros in factored form, then convert to
standard form.
zero: 0 multiplicity 3
zero: -2 multiplicity 2
7. factored form:_______________(+2)
standard form:________________(+2)
8) a) Divide
6 x 2  29 x  35
by (2x-5)
8a) Quotient:____________________(+3)
b) Is (2x-5) a factor of
6 x 2  29 x  35 ?
8 b)_________(+1)
9) a) Divide
 2x2  9
by (x+3)
9a) Quotient:____________________(+3)
b) Is (x+3) a factor of
 2x2  9
9 b)_________(+1)
Factor
10)
x 4  7 x 2  18
11)
5 x 3  40
10. _______________(+2)
11. _______________(+2)
12)
27 x 3  125
13) x  2 x  24 x
3
2
12. _______________(+2)
13._______________(+2)
Solve the equations:
14) x  6 x  16 x  0
5
3
15) x  9 x  20  0
4
2
14. ______________(+4)
15. ______________(+4)
4
16) x  81  0
17) 8 x  27  0
3
16. ______________(+4)
17. ______________(+4)
Extra Credit:
1. Often talked of, never seen. Ever coming, never been. Daily looked for, never
here. Still approaching, coming near. Thousands for it’s visit wait. But alas for their
fate, tho’ they expect me to appear, they will never find me here.
What is this
talking about?
2. Before Mount Everest was discovered, what was the highest mountain on earth?
3. What word from group B belongs to group A and why?
A) FRONT, SKI, MELON, FALL
B) ROAD, TIRE, TOWER, CLIFF