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WorksheetsTest 6 Review: Polynomial Basics, Add, Subtract, Multiply, B
Total questions: 26
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
Find the product:
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
2.
Find the product:
(3r-4)(7r-5)
(3r-4)(7r-5)
a)
21r2-43r+20
b)
21r+43r2+9
c)
7r+12r
d)
r+2r
3.
Find the product:
(2x+3)2
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
4.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
5.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
6.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
7.
Find the Difference.
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -20)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6X3 -4X2 + 6X + 16
d)
3x + 2
8.
What is the degree of the polynomial x2-2x+5?
a)
1
b)
2
c)
3
d)
0
9.
4x2 + 8x - 7 is classified as a...
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Cubic
10.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
11.
Simplify the expression
-6x - 5(10x + 3)
-6x - 5(10x + 3)
a)
-56x - 15
b)
-56x+15
c)
44x+15
d)
-44x-15
12.
Simplify the expression
(8 p + 7 + 8 p2) - ( p + 4 p4 - 6 p2) + (2 p2 + p + 1)
(8 p + 7 + 8 p2) - ( p + 4 p4 - 6 p2) + (2 p2 + p + 1)
a)
-4 p4 + 16 p2 + 10 p + 20
b)
-4 p4 + 16 p2 + 10 p + 8
c)
-4 p4 + 16 p2 + 8 p + 8
d)
-4 p4 + 16 p2 + 10 p + 12
13.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
14.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
15.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
16.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
17.
Select the correct expansion of
(1 - x)5
a)
1 − 5x + 10x2 − 10x3 + 5x4 − x5
b)
1 + 5x + 10x2 + 10x3 + 5x4 + x5
c)
-1 + 5x - 10x2 + 10x3 - 5x4 + x5
d)
1 − 5x + 10x2 + 10x3 + 5x4 − x5
18.
Select the correct expansion of
(1 + 4x)3
a)
1 + 12x + 12x2 + 4x3
b)
1 + 12x + 48x2 + 64x3
c)
1 + 3x + 3x2 + x3
d)
1 + 4x + 16x2 + 64x3
19.
Find the fourth term of the expansion (5+3y)5.
a)
2025y4
b)
750y3
c)
75y4
d)
6750y3
20.
What is the Binomial expansion of (x + 1)5 ?
a)
x5 + 5x4 + 10x3 + 10x2 + 5x + 1
b)
x5 + 5x4 + 15x3 + 15x2 + 5x + 1
c)
x5 + 6x4 + 15x3 + 15x2 + 6x + 1
d)
x5 + 1
21.
Expand the expression.
(2x+5)4
(2x+5)4
a)
2x4 + 40x3 + 300x2 + 1000x +625
b)
16x4 + 160x3 +600x2 +1000x + 625
c)
16x4 + 1000x3 + 600x2 + 160x +625
22.
Find the 4th term in the expansion of (4x-3)5.
a)
5760
b)
-4320x2
c)
5760x3
d)
-4320
23.
Which row of Pascal's Triangle would you use to expand (x+y)3?
a)
1
b)
1 1
c)
1 2 1
d)
1 3 3 1
24.
What is the third term in the expansion of (x + 4)5?
a)
640 x2
b)
160 x3
c)
4 x5
d)
64 x3
25.
How many terms are the in the expansion of (1+b)5
a)
5
b)
6
c)
25
d)
50
e)
3
26.
Find the 2nd term in the expansion of
(2b + 1)3
(2b + 1)3
a)
12b2
b)
6b
c)
8b3
d)
4b2
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