Multiplying Monomials and Polynomials

This video tutorial covers the multiplication of polynomials with monomials. It begins with an introduction to polynomials and monomials, followed by a detailed explanation of multiplying constants and variables. The tutorial then explores the multiplication of variables and exponents, emphasizing the use of the distributive property. Advanced examples are provided, along with key reminders about the signs of terms and the results of multiplying negative numbers.

What is a monomial?

• A polynomial with four terms

• A polynomial with two terms

• A polynomial with one term

• A polynomial with three terms

How many terms does a trinomial have?

• One

• Two

• Three

• Four

What is the result of multiplying 3 by the variable x?

• 3x

• x3

• 3 + x

• 3 - x

If you multiply 3 by 4x, what is the result?

• 4x

• 3x

• 12x

• 7x

What is the product of -5 and 6x?

• -30x

• 30x

• -11x

• 11x

What is x times x?

• x cubed

• x squared

• 2x

• x

What is the result of 4x times x?

• 8x

• 4x squared

• 4x

• 8x squared

What is the result of 4x times 6x?

• 24x

• 24x squared

• 10x

• 10x squared

What is the result of -10x times 3x?

• 30x

• -30x squared

• -30x

• 30x squared

What is the distributive property?

• A method to subtract polynomials

• A method to divide polynomials

• A method to add polynomials

• A method to multiply a number by each term inside brackets