Multiplying and Distributing Polynomials

The video tutorial explains how to simplify an algebraic expression by distributing terms and combining like terms. It begins with distributing -2X^2 across two terms, followed by distributing 3X across another set of terms. The process involves multiplying coefficients and adding exponents. Finally, the tutorial demonstrates how to combine like terms to achieve a simplified expression.

What is the first step in simplifying the given expression?

• Factor the expression

• Distribute the terms

• Add the coefficients

• Combine like terms

When distributing -2X^2 and 3X, which term is distributed first?

• -3

• 4X

• 3X

• -2X^2

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

• 8X^2

• -8X^3

• 8X^3

• -8X^2

How do you determine the exponent of X when multiplying -2X^2 by 4X?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is the result of multiplying -2X^2 by -3?

• -6X^2

• 6X^2

• -6X

• 6X

What happens to the sign when multiplying two negative numbers?

• It is undefined

• It remains the same

• It becomes positive

• It becomes negative

What is the result of distributing 3X and multiplying it with 5x?

• 10X^3

• 15X^3

• 10X^2

• 15X^2

How do you determine the exponent of X when multiplying 3X by 5x?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What is the result of multiplying 3X by 7?

• 14X^2

• 21X^2

• 21X

• 14X

What is the next step after multiplying 3X by 7?

• Combine like terms

• Factor the expression

• Add the coefficients

• Distribute the terms