AnswersCrowley Summer 26 Credit Recovery Algebra 2 ASolving Systems of Equations in Three Variables

Division of Polynomials Answers

6 verified answers
2
Free Preview

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
3

What is the quotient of the following division problem?

Question illustration
A
x + 2
B
x + 1
C
x2 + 3x + 2
D
0
4

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
5

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.
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

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.
10

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

Did you find these answers helpful?