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Factoring a Difference of Two Squares

Factoring a Difference of Two Squares

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

This video tutorial teaches how to factor expressions by identifying differences of two squares. It explains the concept of quadratic expressions, perfect squares, and conjugate expressions. The lesson provides examples to illustrate the process of factoring, emphasizing the importance of recognizing perfect squares and using conjugate pairs. The tutorial concludes with a summary of the key points covered.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of a quadratic expression?

ax squared plus bx plus c

ax plus bx squared plus c

ax squared minus bx plus c

ax squared plus bx minus c

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a perfect square?

4

9

7

16

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a conjugate expression?

A binomial with identical terms

A binomial with the same terms in reverse order

A binomial formed by negating the second term of another binomial

A binomial with opposite terms

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of x squared minus 4?

(x - 1)(x + 1)

(x - 3)(x + 3)

(x - 4)(x + 4)

(x - 2)(x + 2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the first term in each factor when factoring a difference of two squares?

By adding the terms

By subtracting the terms

By taking the square root of the first term in the expression

By doubling the first term in the expression

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can x to the 4 minus 9 be factored?

(x squared - 3)(x squared + 3)

(x squared - 9)(x squared + 9)

(x squared - 4)(x squared + 4)

(x squared - 1)(x squared + 1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of x to the 6 minus 4y squared?

(x cubed - y)(x cubed + y)

(x cubed - 4y)(x cubed + 4y)

(x cubed - 2y)(x cubed + 2y)

(x cubed - 3y)(x cubed + 3y)

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