Multiply a Monomial by a Polynomial Using Distributive Property

The video tutorial demonstrates how to multiply a monomial by a trinomial using the distributive property. It begins by explaining the concept and then applies the distributive property to avoid errors. The tutorial also covers handling negative multiplication and exponent rules, concluding with the final calculation and simplification of the expression.

What is the main mathematical property used to multiply a monomial with a trinomial?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

When multiplying a monomial with a trinomial, what should you do to avoid mistakes?

• Multiply all terms at once

• Rewrite the product for each term

• Ignore negative signs

• Add all terms first

How do you handle a negative number when multiplying it with a positive number?

• The result is always positive

• The result is always negative

• The result is zero

• The result is a subtraction problem

What happens to the exponents when you multiply two terms with the same base?

• They are subtracted

• They are added

• They remain unchanged

• They are divided

What is the final result of multiplying the monomial with the trinomial in the example?

• -14y^3 + 8y^2 - 6y

• -14y^2 + 8y^3 - 6y

• -14y + 8y^2 - 6y^3

• -14y^3 + 8y - 6y^2