AnswersAdv. Algebra II S1 OriginalFactoring Polynomials Completely

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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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

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
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 + 8) ÷ (x + 2)?

A
x2 + 2x + 4
B
x2 – 2x + 4
C
x2 + 4
D
x2 – 4
6

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
7

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
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

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
10

What is the remainder of the following division problem?

Question illustration
A
x
B
1
C
0
D
–1

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