Division of Polynomials Answers

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1
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What is the quotient of ?

Question illustration
A
x + 2
B
x – 2
C
x – 8
D
x + 8
2
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What is the quotient of ?

Question illustration
A
x + 2
B
x - 2
C
x + 6
D
x - 6
3

What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?

A
x + 2
B
x – 2
C
x + 10
D
x + 6
4

The quotient of (x4 + 5x3 – 3x – 15) and (x3 – 3) is a polynomial. What is the quotient?

A
x7 + 5x6 – 6x4 – 30x3 + 9x + 45
B
x – 5
C
x + 5
D
x7 + 5x6 + 6x4 + 30x3 + 9x + 45
5

What is the first term of the quotient of the following division problem?(x3 – 1) ÷ (x + 2)

A
–0.5
B
1
C
x2
D
x4
6

The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
Option A
B
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Option B
C
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
Option C
D
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Option D
7

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first?

Question illustration
A
x + 3
B
x2 + x + 2
C
x3 + 2x2
D
x2 + 3x
8

The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and (x2 – 5) is a polynomial. What is the quotient?

A
x5 – 3x3 – 2x2 – 10x + 10
B
x7 – 8x5 – 3x4 + 5x3 + 30x2 + 50x – 75
C
x3 + 2x – 3
D
x5 – 3x3 – 4x2 – 10x + 20
9

Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.Which statement about their answers is true?

Question illustration
A
Tamara’s work is correct because Clyde did not multiply the terms in the division table correctly.
B
Clyde’s work is correct because Tamara did not subtract the terms correctly.
C
Both students are correct.
D
Both students are incorrect.
10

What is the first step of the following division problem?(8x3 – x2 + 6x + 7) ÷ (2x – 1)

A
Divide 8x3 by 2x.
B
Divide 2x by 8x3.
C
Divide 6x by 2x.
D
Divide 2x by 6x.

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