How to classify a polynomial by expanding

The video tutorial addresses common mistakes students make when squaring binomials, emphasizing that squaring a binomial is not the same as distributing the square across terms. It explains the correct method using the distributive property or foiling technique. The tutorial further discusses the importance of foiling to avoid errors and demonstrates the multiplication of expressions by multiplying each term. Finally, it classifies the resulting polynomial by its degree and number of terms, identifying it as a cubic trinomial.

What is a common mistake students make when squaring a binomial?

• Ignoring the binomial completely

• Multiplying the terms by zero

• Adding the terms together

• Distributing the square across each term

Which technique is used to correctly multiply two binomials?

• Foiling technique

• Addition technique

• Subtraction method

• Division method

What is the result of multiplying b * b?

• b^3

• b^2

• b^4

• b

How many terms are in a trinomial?

• One

• Four

• Two

• Three

What is the degree of a cubic polynomial?

• Three

• One

• Four

• Two