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Factoring and Common Factors in Algebra

Factoring and Common Factors in Algebra

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Mr. D introduces multiplying rational expressions, focusing on simplifying a given expression. He explains three factoring techniques: greatest common factor, difference of perfect squares, and factoring trinomials. The video demonstrates how to factor both numerators and denominators, cancel common factors, and arrive at the simplest form of the expression. The final answer is presented as x over x plus five.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Dividing rational expressions

Subtracting rational expressions

Adding rational expressions

Multiplying rational expressions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a type of factoring mentioned?

Greatest common factor

Difference of perfect squares

Factoring trinomials

Completing the square

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor of x^2 and 2x?

x

2

2x

x^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem?

Multiply the fractions

Factor both numerators and denominators

Subtract the fractions

Add the fractions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of redistributing x in the first fraction's numerator?

x^2 + x

2x^2 + x

x^2 + 2x

x^2 - 2x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring out x in the first fraction's numerator?

x(x - 1)

x(x + 2)

x(x - 2)

x(x + 1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two numbers multiply to -15 and add to 2?

3 and -5

5 and -3

1 and -15

15 and -1

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