Multiplying Monomials and Polynomials

The video tutorial covers how to multiply a monomial by a polynomial, focusing on the distributive property. It explains the process step-by-step, using examples to illustrate the multiplication of monomials and polynomials, including binomials and trinomials. The tutorial also clarifies common misconceptions and provides additional resources for practice.

What is a polynomial with two terms called?

• Monomial

• Binomial

• Trinomial

• Quadrinomial

Which property is used to multiply a monomial by a polynomial?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

When using the distributive property, what does the monomial do?

• Adds to each term

• Subtracts from each term

• Multiplies each term

• Divides each term

What is the result of multiplying 4x^2 by 3x?

• 7x^2

• 12x^3

• 12x^2

• 12x

What is the result of multiplying 4x^2 by -2?

• -8x

• 8x^2

• 8x

• -8x^2

What is the first step in multiplying 2x by 3x^2?

• Divide the coefficients

• Subtract the coefficients

• Multiply the coefficients

• Add the coefficients

What is the result of multiplying 2x by -4x?

• -8x^2

• -8x

• 8x^2

• 8x

What is the result of multiplying 2x by 8?

• 16

• 8x

• 16x

• 8

How does x times x^2 simplify?

• x^2

• x^3

• x

• x^4

What is the equivalent of x times x times x?

• x^2

• x^3

• x^4

• x