Dividing Rational Expression with factoring

Dividing Rational Expression with factoring

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to convert division problems into multiplication problems by factoring. It covers the concept of factoring out numbers and using the difference of squares to simplify expressions. The tutorial also discusses applying division properties across multiplication problems and concludes with simplifying expressions and identifying restrictions on variable values.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying a division problem in algebra?

Divide by zero

Convert it into a multiplication problem

Convert it into a subtraction problem

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring an expression, what does the 'difference of two squares' refer to?

A process to divide two squares

A way to express a difference as a product of two binomials

A technique to multiply two squares

A method to add two squares

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring out a three from the expression x^2 - 4?

3(x^2 - 4)

3(x - 4)(x + 4)

3(x + 2)(x - 2)

3(x - 2)(x + 2)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can division properties be applied to a multiplication problem?

By multiplying the exponents

By adding the numerators

By subtracting the denominators

By dividing across the multiplication

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the restrictions on the variable x in the final expression?

x cannot equal 1 and ± 5

x cannot equal 4 and ± 2

x cannot equal 0 and ± 3

x cannot equal 2 and ± 4

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