Multiply a Monomial by a Trinomial - Free Math Help Videos

The video tutorial explains how to multiply a monomial by a trinomial using the distributive property. It begins with an introduction to the concept, followed by a detailed explanation of the distributive property. The tutorial then demonstrates how to apply this property to multiply each term of the monomial with the terms inside the trinomial. It also covers the use of the product property for exponents during multiplication. The video concludes with the final steps and a summary of the multiplication process.

What is the first step when using the distributive property to multiply a monomial by a trinomial?

• Add the coefficients of the terms.

• Multiply the monomial by each term inside the parentheses.

• Subtract the exponents of the terms.

• Divide the monomial by the trinomial.

In the example given, what is the result of multiplying 3X by 2X^2?

• 6X^2

• 5X^3

• 6X^3

• 9X^2

What is the product of 3X and -4X in the example?

• -12X^2

• -7X^2

• -12X^3

• 12X^2

How do you handle exponents when multiplying terms with the same base?

• Add the exponents.

• Divide the exponents.

• Multiply the exponents.

• Subtract the exponents.

What is the final expression obtained after multiplying 3X by the trinomial 2X^2 - 4X + 6?

• 6X^3 - 12X^2 - 18

• 6X^3 - 12X + 18

• 6X^3 + 12X^2 + 18

• 6X^3 - 12X^2 + 18