Division of Polynomials Answers

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What is the quotient of (x3 + 8) ÷ (x + 2)?

A
x2 + 2x + 4
B
x2 – 2x + 4
C
x2 + 4
D
x2 – 4
2
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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.
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

Isla is dividing 3x3 + x2 – 12x – 4 by x + 2 using a division table. QuotientDivisor3x2– 5x– 2x3x3–5x2–2x+ 26x2ABWhat are the missing values in the table?

A
A = –10x; B = –4
B
A = –10x; B = 0
C
A = –3x; B = –4
D
A = –3x; B = 0
6

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.
7

Shelia is dividing x4 – 4x3 + 4x2 – 6x + 5 by x – 1 using a division table. QuotientDivisor x3– 3x2+ x– 5xx4–3x3x2A– 1–x33x2BCWhat are the missing values in the table?

A
A = –5x; B = 1x; C = 5
B
A = –5x; B = –1x; C = 5
C
A = 5x; B = –1x; C = 5
D
A = 5x; B = 1x; C = 5
8

What is the remainder of the following division problem?

Question illustration
A
x
B
1
C
0
D
–1
9

What is the quotient of ?

Question illustration
A
x + 2
B
x - 2
C
x + 6
D
x - 6
10

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

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