How to solve a quadratic by factoring a GCF from two terms

How to solve a quadratic by factoring a GCF from two terms

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a quadratic equation by factoring out the greatest common factor (GCF) from the first two terms. The instructor demonstrates the process of identifying the common factor, factoring it out, and then applying the zero product property to solve the equation. The tutorial concludes with a summary of the steps involved in solving the equation by factoring.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation by factoring?

Set the equation equal to zero

Identify the greatest common factor

Apply the zero product property

Add terms to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can only 'X' be factored out in the given equation?

Because 'X' is the only variable

Because 5 and 3 have no common factors

Because the equation is already simplified

Because 'X' is the largest number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result after factoring out 'X' from the equation?

X + 5

5X - 3

X - 3

5X + 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you apply the zero product property to solve the equation?

Set each factor equal to zero

Divide both sides by zero

Multiply both sides by zero

Add zero to both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for 'X' after applying the zero product property?

X = 1

X = 0

X = 3/5

X = 5/3