Solve by factoring out GCF

Solve by factoring out GCF

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the X values when Y equals zero by rewriting the equation and factoring it. The process involves identifying the greatest common factor (GCF) and factoring out terms to put the equation in intercept form. The tutorial also covers dividing fractions by using reciprocals and applying the zero product property to solve quadratic equations, resulting in solutions for X.

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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 for x when y equals zero in a quadratic equation?

Rewrite the equation with y as zero

Multiply both sides by zero

Add a constant to both sides

Subtract x from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring out a common term, what is the greatest common factor (GCF) used for?

To simplify the equation

To eliminate fractions

To find the roots of the equation

To convert the equation to standard form

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you handle fractions when factoring them out of an equation?

Multiply by the reciprocal

Add the fractions together

Convert them to decimals

Ignore the fractions

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is applied after factoring to solve the quadratic equation?

Zero product property

Distributive property

Associative property

Commutative property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for x in the given quadratic equation after applying the zero product property?

x = -1 and x = 3

x = 1 and x = 2

x = 0 and x = 4/3

x = 2/3 and x = 1/2