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WorksheetsMath 2 Unit 3 Operations with Polynomial Expressions
Total questions: 16
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
Simplify:
(3x² - 2x + 1) + (x² - 5)
(3x² - 2x + 1) + (x² - 5)
a)
3x4 - 2x - 4
b)
4x² - 2x - 4
c)
2x² - 2x + 6
d)
3x4 - 2x3 - 14x2 + 10x - 5
2.
Simplify:
(5ab + 3a²b - ab²) +
(13 - ab + 4ab²)
(5ab + 3a²b - ab²) +
(13 - ab + 4ab²)
a)
18ab + 2a²b + 3ab²
b)
4ab + 3a²b + 3ab² + 13
c)
3a²b + ab² + 4ab + 13
d)
4ab + 6a²b + 13
3.
Simplify:
(4x4 - 3x2 + x) -
(x4 - 2x2 - 7)
(4x4 - 3x2 + x) -
(x4 - 2x2 - 7)
a)
3x4 - x2 + x - 7
b)
3x4 - x2 + x + 7
c)
5x4 - x2 + x + 7
d)
-x² + x + 11
4.
Simplify:
(-7m³ + 3m² + m) -
(-m³ + 4m + 9)
(-7m³ + 3m² + m) -
(-m³ + 4m + 9)
a)
-6m³ - m² + m - 9
b)
-6m³ + 3m² - 3m - 9
c)
-8m³ + 3m² - 3m - 9
d)
-6m³ + 3m² - 3m + 9
5.
Simplify:
(2x - 3)(x + 4)
(2x - 3)(x + 4)
a)
2x² - 12
b)
2x² + 5x + 12
c)
2x² - 5x - 12
d)
2x² + 5x - 12
6.
Simplify:
(3x + 1)(2x² - 4x - 5)
(3x + 1)(2x² - 4x - 5)
a)
6x³ - 14x² - 19x - 5
b)
6x³ + 10x² - 19x - 5
c)
6x³ - 10x² - 19x - 5
d)
6x³ - 14x² - 11x - 5
7.
Simplify:
(10x6 - 15x4 + 5x2) ÷ (5x2)
(10x6 - 15x4 + 5x2) ÷ (5x2)
a)
2x4 - 3x2
b)
2x4 - 3x2 + 1
c)
5x4 - 10x2
d)
2x3 - 3x2 + 1
8.
Simplify:
(8a2bc2 - 10ab2c + 4a3b) ÷ (-2ab)
(8a2bc2 - 10ab2c + 4a3b) ÷ (-2ab)
a)
-4ac2 + 5bc - 2a2
b)
4ac2 - 5bc + 2a2
c)
-4c2 + 5c + -2
d)
-4ac + 5bc - 2a
9.
Simplify:
(x³ - 4x² + 5x - 7)
÷ (x + 1)
(x³ - 4x² + 5x - 7)
÷ (x + 1)
a)
x2 - 4x + 5x - 7
b)
x² - 5x - 7
c)
x² - 5x + 10 -
17/(x+1)
17/(x+1)
d)
-x² + 5x - 10 -
17/(x+1)
17/(x+1)
10.
Simplify:
(x4 - 16)
÷ (x + 2)
(x4 - 16)
÷ (x + 2)
a)
x3 - 14/(x+2)
b)
x3 - 14
c)
x3 + (2x2 - 16)/(x + 2)
d)
x3 - 2x2 + 4x - 8
11.
Factor completely:
m6 - 45m2
m6 - 45m2
a)
m(6 - 45*2)
b)
m2(m3 - 45m)
c)
m2(m3 - 45)
d)
m2(m4 - 45)
12.
Factor completely:
4ab² + 8a² - 4a
4ab² + 8a² - 4a
a)
4a(b² + 2a)
b)
4a(b² + 2a - 1)
c)
4a²(b² + 2 - 4)
d)
4(ab² + 2a² - 1)
13.
Factor completely:
4x3 - 8x2 + 5x - 10
4x3 - 8x2 + 5x - 10
a)
(x - 2)(4x2 + 5)
b)
x(4x2 - 8x + 5)
c)
(2x2 - 5)(2x + 2)
d)
(4x2 - 2)(x + 5)
14.
Factor completely:
12ab - 10ac - 6bc + 5c²
12ab - 10ac - 6bc + 5c²
a)
(2a - 5c)(6b - c)
b)
c(12ab - 10a - 6b + 5c)
c)
(2a - c)(6b - 5c)
d)
(6a - c)(2b - 5c)
15.
Factor completely:
x2 + 3x - 18
x2 + 3x - 18
a)
(x + 3)(x - 6)
b)
(x - 3)(x + 6)
c)
(x + 2)(x - 9)
d)
(x - 2)(x + 9)
16.
Factor completely:
2x2 + x - 6
2x2 + x - 6
a)
(2x + 1)(x - 6)
b)
(2x - 2)(x + 3)
c)
(2x + 6)(x - 1)
d)
(2x - 3)(x + 2)
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