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Division of Polynomials Answers

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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
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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
3

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
4

What is the quotient of ?

Question illustration
A
x + 2
B
x - 2
C
x + 6
D
x - 6
5

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

A
x + 2
B
x – 2
C
x + 10
D
x + 6
6

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
7

What is the quotient of (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

A
3x3 + 6x2 + 8x + 24 –
Option A
B
3x3 + 6x2 + 8x + 24 +
Option B
C
3x3 + 6x2 + 8x + 24 +
Option C
D
3x3 + 6x2 + 8x + 24 –
Option D
8

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
9

What is the quotient of ?

Question illustration
A
x + 2
B
x – 2
C
x – 8
D
x + 8
10

The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length × width, what is the width of the rectangle?

A
x + 1
B
x – 9
C
x + 4
D
x – 1

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