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Worksheets5.2 & 5.3 Polynomial Operations
Total questions: 10
Worksheet time: 10mins
Name
Class
Date
1.
To add or subtract polynomials,
a)
you add or subtract the coefficients of like terms.
b)
you multiply each term of the first polynomial by each term of the second polynomial.
2.
To multiply two polynomials,
a)
you add or subtract the coefficients of like terms.
b)
you multiply each term of the first polynomial by each term of the second polynomial.
3.
Find the sum.
a)
20x4 - 3x3 + 8x2 - 6x - 2
b)
20x4 - 7x3 - 7x2 - 6x - 2
c)
20x8 - 3x3 - 6x2 - 2
d)
20x4 - 3x3 - 6x - 2
4.
Find the difference.
a)
-10x5 - 8x4 - 7x3 - 18x2 + x + 18
b)
-10x5 + 8x4 - 7x3 - 20x2 - x + 18
c)
18x5 - 8x4 - 7x3 + 2x2 + x + 18
d)
10x5 - 8x4 + 7x3 + 20x2 + x - 18
5.
Find the product.
a)
5x2 - 6x +9
b)
-10x3 + 23x2 -24x + 18
c)
5x3 + 7x2 -24x + 18
d)
-10x3 + 23x2 + 18
6.
Find the product.
a)
a2 + b2
b)
a2 - b2
c)
a2 - 2ab + b2
d)
2a - 2b
7.
Find the product.
a)
a2 + b2
b)
a2 - b2
c)
a2 + 2ab + b2
d)
2a + 2b
8.
Polynomial long division follows a format similar to dividing numbers.
a)
True
b)
False
9.
The shortcut called synthetic division can be used for any polynomial division problem.
a)
True
b)
False
10.
Divide.
a)
3x2 - 8x + 6
b)
3x2 - 8x + 8 + -10/x-1
c)
3x2 - 2x - 2 + -4/x-1
d)
3x2 - 2x - 4
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