AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions Answers

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1
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These rational expressions all have the same denominator. Write the sum of their numerators over the common denominator:

Question illustration
A
Option
B
Option
C
Option
D
Option
2
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x2 – 6x + 8 =

A
(x +8)(x – 6)
B
(x – 4)(x + 1)
C
(x – 4)(x – 2)
3

What is the numerator in the sum?

A
2(x + 1)(x – 2)(x – 4) + 3(x + 1)(x – 2)(x – 4)
B
2(x – 2)(x – 4) + 3(x + 1)(x – 4)
C
2(x – 2) + 3(x + 1)
4

Study the example shown below.Which expression should replace the word “numerator” in the work shown?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Complete the following steps to find the LCD and write the sum of the numerators for the given problem:Factor each denominator:x2 – 3x – 4 =

Question illustration
A
(x – 4)(x + 1)
B
(x – 3)(x – 4)
C
(x – 1)(x + 4)
6

What is the least common denominator (LCD) of the rational expressions being added?

Question illustration
A
x
B
x2
C
x3
7

Rewrite the expression using the common denominator:

A
Option
B
Option
C
Option
8

(x − 4)(x + )(x − )

Answer:

1

9

(x − 4)(x + )(x − )

Answer:

2

10

Simplify:Rewrite the expression using the LCD:

Question illustration
A
Option
B
Option
C
Option
11

Simplify:

A
Option
B
Option
C
Option

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