Understanding Squaring Binomials

The video tutorial explains how to square a binomial, a type of polynomial with two terms. It begins by addressing common mistakes, such as incorrectly squaring each term separately. The correct method involves multiplying the binomial by itself and using the distribution method to expand it. The tutorial then demonstrates how to combine like terms to simplify the resulting polynomial. The video concludes with a summary of the process and emphasizes the importance of understanding each step.

What is a binomial?

• A polynomial with three terms

• A polynomial with two terms

• A polynomial with four terms

• A polynomial with one term

What is a common mistake when squaring a binomial?

• Multiplying each term by a different number

• Adding the terms instead of multiplying

• Squaring each term separately

• Dividing the terms

How should you correctly square a binomial?

• Multiply the binomial by itself

• Add the binomial to itself

• Subtract the binomial from itself

• Divide the binomial by itself

What is the first step in using the distribution method to square a binomial?

• Subtract the terms

• Divide the terms

• Multiply each term by the other

• Add the terms

What is the result of multiplying x by x in the distribution method?

• x squared

• x cubed

• 2x

• x

What do you get when you multiply -2 by -2?

• -2

• 4

• -4

• 0

Why are -2x and -2x considered like terms?

• They are constants

• They have different coefficients

• They have the same variable

• They have different variables

What is the result of combining -2x and -2x?

• 4x

• -2x

• -4x

• 0

What is the final form of the polynomial after combining like terms?

• x squared - 4x + 4

• x squared + 4x + 4

• x squared - 2x + 4

• x squared + 2x + 4

What is the main takeaway from squaring a binomial?

• Always add the terms

• Subtract the terms

• Always divide the terms

• Multiply the binomial by itself and combine like terms