Factoring and Identifying Binomials

Charlie Kov, a math teacher, explains how to factor binomials. He begins by defining a binomial expression as one with two terms and demonstrates factoring by finding common elements. He provides examples of simple and complex binomials, showing how to factor them by pulling out common factors. The video concludes with a summary of the steps involved in factoring binomials.

What is a binomial expression?

• An expression with three terms

• An expression with two terms

• An expression with four terms

• An expression with one term

Which of the following is a binomial?

• x + 1

• x^2

• x^2 + 3x + 2

• x^3 + x^2 + x + 1

What is the first step in factoring a simple binomial like 2x + 2?

• Multiply the terms

• Subtract the terms

• Find the common element

• Add the terms together

In the expression 2x + 2, what is the common element?

• x

• None

• 2

• 1

After factoring 2x + 2, what is the resulting expression?

• x + 2

• 2(x + 1)

• x(2 + 1)

• 2x + 1

What is the common factor in the expression 3x^2 - 3x?

• 3

• x^2

• 3x

• x

What is the factored form of 3x^2 - 3x?

• 3x(x - 1)

• 3(x^2 - x)

• x(3x - 3)

• 3x^2 - 3

In the expression y^2 - y, what is the common variable?

• y

• y^2

• 1

• None

What is the factored form of y^2 - y?

• y^2(y - 1)

• y(y + 1)

• y^2 - 1

• y(y - 1)

In the expression m^3 - m^2, what can be factored out?

• 1

• m^3

• m^2

• m