Division of Polynomials Answers

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What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?

A
x2 – 2x – 3
B
x2 + 2x + 7
C
x2 – 3x + 8
D
x2 – 2x + 3
2
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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
3

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
4

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
5

What is the remainder of the following division problem?

Question illustration
A
x
B
1
C
0
D
–1
6

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
7

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?(x + 2) ´ ______ = x2 – 4

A
x2 – 4
B
x – 2
C
x + 2
D
x2 – 2
8

What is the quotient of the following division problem?

Question illustration
A
x + 2
B
x + 1
C
x2 + 3x + 2
D
0
9

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
10

What is the quotient of (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

A
x2 + 4x + 9
B
x2 + 2x
C
x2 + 2x + 3
D
x2 + 3x + 8

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Division of Polynomials Answers — KY-Algebra II…