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Worksheets8-1 and 8-2 Polamalu (Polynomial) Practice
Total questions: 27
Worksheet time: 6hrs 48mins
Name
Class
Date
1.
What is the first thing you should ask yourself when you begin to factor?
a)
What is the GCF?
b)
Why is Miss Madler making me do this?
c)
What is for lunch today?
d)
Where is Miss Madler's missing calculator?
2.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
3.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
4.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
5.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
6.
Simplify the expression.
(5m2 + 4m3 - 3m) + (8m4 + 7m - 6m3) + (5m4 - 5m2 + 6m)
(5m2 + 4m3 - 3m) + (8m4 + 7m - 6m3) + (5m4 - 5m2 + 6m)
a)
13m4 - 2m3 + 5m2 + 10m
b)
8m4 - 2m3 + 11m2 + 10m
c)
8m4 - 2m3 + 5m2+ 10m
d)
13m4 - 2m3 + 10m
7.
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
5b3 - 3 + 6b
a)
3rd degree binomial
b)
3rd degree monomial
c)
3rd degree trinomial
d)
1st degree polynomial
8.
Simplify the expression
-6x - 5(10x + 3)
-6x - 5(10x + 3)
a)
-56x - 15
b)
-56x+15
c)
44x+15
d)
-44x-15
9.
Simplify the expression.
-4(9 + 3x) - 4(x - 2)
-4(9 + 3x) - 4(x - 2)
a)
-16x-28
b)
-16x-44
c)
20x - 12
d)
30x - 9
10.
Multiply
x2(2x+3)
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
11.
Factor by 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)
12.
Factor:
18a2-15a
18a2-15a
a)
15a(3a-1)
b)
3a(6a-1)
c)
3(6a-5)
d)
3a(6a-5)
13.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
14.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n2)
c)
2n3(10-8n2)
d)
3n(1-4n)
15.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
16.
Simplify:
2x(-2x-3)
2x(-2x-3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
17.
Factor by GCF:
10x2 + 15x - 5
10x2 + 15x - 5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
18.
Factor by 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)
19.
What is the GCF of the trinomial?
6x5y4+24x6y2-36x3y3
6x5y4+24x6y2-36x3y3
a)
6x3y2
b)
6xy
20.
Factor:
80x5-70x2-60x7
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x5)
c)
10x2(8x3-7-6x5)
d)
3x2(80x3-40-60x5)
21.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
22.
What is the GCF? 3x2-2x
a)
3
b)
3x
c)
x
d)
2
23.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
24.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
25.
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
26.
-7(8−7x)−3(1-10x)
a)
-9x + 2
b)
-11x + 2
c)
79x − 59
d)
-17x + 4
27.
8x(2x2 + 6x + 10)
a)
10x3 + 14x2 + 18x
b)
16x3 + 48x2 + 80x
c)
16x2 + 48x + 80
d)
10x2 + 14x + 80
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