AnswersFL-1200710-Mathematics for College Algebra APolynomial Division

Lesson 4.4: Polynomial Division Answers

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Which expression shows the first step in dividing 5x + 3 by x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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The area of the base of a cylinder is found by dividing the volume of the cylinder by its height.

Question illustration
A
x2 + 3x +
Option A
B
5x (5x2 + 15x + 2)
C
x + 3 +
Option C
D
x (x2 + 3x +2)
3

Jeanie wrote the correct first step to divide 8z2 + 4z – 5 by 2z.

Question illustration
A
4z + 2 –
Option A
B
4z2 + 2 –
Option B
C
4z2 + 2 –
Option C
D
4z + 2 –
Option D
4

Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.What is the value of a?

Question illustration
A
-5
B
-1
C
1
D
5
5

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?

A
y – 2 –
Option A
B
y + 2 –
Option B
C
y + 2 +
Option C
D
y – 2 +
Option D
6

Consider the division of 15h2 + 10h + 25 by 5h.= X + Y +

Question illustration
A
X = 3 and Y = 2
B
X = and Y =
Option B
C
X = 3h and Y = 2
D
X = and Y =
Option D
7

The height of a rectangular prism is found by dividing volume, V, by the base area, B.

Question illustration
A
3x + 5 –
Option A
B
3x – 7 +
Option B
C
3x + 5 +
Option C
D
3x – 7 –
Option D
8

Divide 2x2 + 7x – 3 by 2x + 5. Which expression represents the quotient and remainder?

A
x + 1 +
Option A
B
x + 1 –
Option B
C
x + 1 +
Option C
D
x + 1 –
Option D
9

Consider the division of 8y2 – 12y + 4 by 4y.

Question illustration
A
a = 2y and b = 3
B
a = and b = –3y
Option B
C
a = 2y and b = –3
D
a = and b = 3y
Option D
10

Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options.

Question illustration
A
The divisor is 2p – 2.
B
The dividend is 4p2 + 0p + 6.
C
The quotient is 2p + 2 + .
Option C
D
The remainder over the divisor is .
Option D
E
To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.
Option E
11

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Consider the division of 4h2 + 2h + 6 by 2h.

Question illustration
A
A = 2 and B = 1
B
A = 2h and B = 1
C
A = and B =
Option C
D
A = and B =
Option D
13

Aramis showed the division of 6p2 + 9p + 3 by 3p.A + 3 + B

Question illustration
A
A = 2p and B = p
B
A = 3p and B = p
C
A = and B =
Option C
D
A = 2p and B =
Option D
14

What is the quotient?

Question illustration
A
3x2 – 11 +
Option A
B
3x – 11 +
Option B
C
3x2 – 11 –
Option C
D
3x – 11 –
Option D

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