Understanding Binomial Squaring and FOIL Method

The video tutorial explains how to square a binomial by multiplying it by itself. It guides viewers through setting up the binomial, applying the FOIL method, and managing signs and coefficients. The tutorial emphasizes the importance of combining like terms and suggests using Desmos for accuracy.

What does it mean to square a binomial?

• Add the binomial to itself

• Multiply the binomial by itself

• Divide the binomial by itself

• Subtract the binomial from itself

In the expression (x - 6)^2, what is the first step in setting it up for multiplication?

• Write it as (x - 6)(x + 6)

• Write it as (x - 6)(x - 6)

• Write it as (x + 6)(x + 6)

• Write it as (x + 6)(x - 6)

When using the FOIL method, what is the result of multiplying the first terms in (x - 6)(x - 6)?

• x

• x^2

• 2x

• 6x

Why is it important to consider coefficients when using the FOIL method?

• They change the variable

• They impact the numerical result

• They determine the degree of the polynomial

• They affect the sign

What should you be cautious about when multiplying the outer and inner terms in the FOIL method?

• The signs of the terms

• The order of multiplication

• The degree of the terms

• The coefficients of the terms

What tool is suggested for verifying the combination of like terms?

• Desmos

• Spreadsheet

• Graph paper

• Calculator