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How do you solve a quadratic by factoring the difference of two squares

How do you solve a quadratic by factoring the difference of two squares

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve quadratic equations using the difference of two squares method. It begins with an introduction to the concept, followed by examples such as solving X^2 - 9 and 4X^2 - 16. The tutorial emphasizes the importance of setting the equation to zero and applying the zero product property. The video concludes with a summary of the techniques discussed.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of a^2 - b^2?

a^2 + b^2

(a + b)(a - b)

(a + b)(a + b)

(a - b)(a - b)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation x^2 - 9, what are the values of x when factored using the difference of two squares?

x = 0 and x = 9

x = 3 and x = 9

x = 3 and x = -3

x = 9 and x = -9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation using the difference of two squares?

Add the squares

Set the equation equal to zero

Multiply both sides by zero

Subtract the squares

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the equation 4x^2 - 16, what is the factored form using the difference of two squares?

(2x - 2)(2x + 2)

(x - 4)(x + 4)

(2x - 4)(2x + 4)

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied at the end of solving a quadratic equation by factoring?

Zero product property

Addition property

Division property

Multiplication property

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