AnswersDRHS-GA-Algebra Concepts and Connections ASolving Systems of Linear Inequalities

Factoring Polynomials: GCF Answers

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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
2
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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
3

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)
4

What is the quotient?

Question illustration
A
4x2 + 5 –
Option A
B
4x + 5 –
Option B
C
4x2 + 5 +
Option C
D
4x + 5 +
Option D
5

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
6

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
7

What is the quotient?

Question illustration
A
4x2 + 15 +
Option A
B
4x + 15 +
Option B
C
4x2 + 15 +
Option C
D
4x + 15 +
Option D
8

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
9

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
10

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

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