Learn how to factor out the GCF from a binomial

Learn how to factor out the GCF from a binomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the concept of square terms, highlighting that while X squared and 9 are square terms, 6 is not. It explains that the difference of two squares cannot be applied when a term is not a square. The tutorial then shifts to factoring using the greatest common factor (GCF), demonstrating how to factor out a common factor of 3 from the expression. The instructor emphasizes that sometimes further factoring is not possible, addressing common student misconceptions and errors in factoring.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a square term?

X squared

Four

Nine

Six

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the difference of two squares be applied to the expression involving six?

Because six is not a square term

Because the expression is already factored

Because X squared is not a square term

Because nine is not a square term

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the greatest common factor (GCF) in the expression discussed?

Three

Five

Four

Two

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After factoring out the GCF, what is left in the expression?

X squared minus three

X squared plus three

X squared plus six

X squared minus six

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common mistake students make when factoring expressions?

Using the wrong formula for factoring

Applying the difference of two squares incorrectly

Trying to factor expressions further than possible

Not factoring out the GCF