AnswersFL-1200330-Algebra 2 Sem 1 - FlexSum and Difference of Two Cubes

Division of Polynomials Answers

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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?

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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.
2
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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
3

What is the quotient of ?

Question illustration
A
x + 2
B
x – 2
C
x – 8
D
x + 8
4

What is the remainder of the following division problem?

Question illustration
A
x
B
1
C
0
D
–1
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 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
7

Amal used the tabular method to show her work dividing –2x3 + 11x2 – 23x + 20 by x2 – 3x + 4. Amal’s Work: Quotient 2x+ 5 Divisorx2–2x35x26x2 + 5x2 = 11x2– 3x6x2–15x–8x + (–15x) = –23x + 4–8x20 Amal’s answer:Which statement about Amal’s work is true?

Question illustration
A
Amal’s work is correct.
B
Amal’s work is incorrect the wrong divisor is on the right side of the division table.
C
Amal’s work is incorrect because it includes a positive two instead of negative two in the answer.
D
Amal’s work is incorrect because the like terms in the division table do not simplify to the original polynomial.
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 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.
10

What is the quotient of the following division problem?

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

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