Learn How to Easily Multiply a Monomial by a Trinomial

The video tutorial explains the process of multiplying expressions, focusing on distributing a term outside the parentheses to each term inside. It covers rewriting expressions, multiplying coefficients, and adding exponents. The tutorial concludes with the final results and invites questions for clarification.

What is the first step when multiplying a polynomial by a term outside the parentheses?

• Subtract the terms inside the parentheses from the term outside.

• Divide the terms inside the parentheses by the term outside.

• Multiply each term inside the parentheses by the term outside.

• Add the terms inside the parentheses.

In the example provided, what is the first term that is multiplied by 3X squared?

• 2X squared

• 6

• 8

• 4X

When multiplying two terms with exponents, what should you do with the exponents?

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

• Divide the exponents.

What is the result of multiplying 3X squared by -4X?

• -12X squared

• 12X squared

• -12X cubed

• 12X cubed

What is the final simplified form of the polynomial after multiplication?

• X to the 4th + 12X cubed + 24X squared

• X to the 4th - 12X cubed + 24X squared

• X to the 4th + 12X cubed - 24X squared

• X to the 4th + 12X squared + 24X cubed