WorksheetsAVE Factoring Polynomials Roots
Total questions: 8
Worksheet time: 34mins
Name
Class
Date
1.
Factor the GCF
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
2.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
3.
Factor the GCF
63x4 - 7x2 + 28x
63x4 - 7x2 + 28x
a)
7x(9x2 - 7 + 4x)
b)
x(63x3 - 7x + 28)
c)
7x(9x3 - x + 4)
d)
not factorable
4.
FInd all zeros for the polynomial
f(x) = x4+8x2-9
f(x) = x4+8x2-9
a)
-1, ⅓, ±3i
b)
½, -1, ±3i
c)
1, -1, ±i√11
d)
1, -1, ±3i
5.
Solve by factoring.
k2 + 8k + 12 = 0
k2 + 8k + 12 = 0
a)
-2, 2
b)
-2, 4
c)
-2, -6
d)
2, 3
6.
What is the first step in solving
(x + 2)(x - 3) = 0 ?
(x + 2)(x - 3) = 0 ?
a)
Plug in zero for x
b)
Solve for x
c)
FOIL
d)
Set each binomial factor equal to zero
7.
How many roots does the polynomial function
P(x) = 3x3+4x-8 have?
a)
1
b)
2
c)
3
d)
4
8.
What degree is the following polynomial: 3x4 + 4x2 + x - 1- 4x5
a)
5
b)
4
c)
12
d)
11
100 %
