Distributing Polynomials and Monomials

The video tutorial covers the process of multiplying polynomials through various examples. Each example demonstrates the distribution of terms and the combination of like terms to simplify the expressions. The tutorial emphasizes the importance of understanding the multiplication of polynomials and provides step-by-step guidance for each example, ensuring clarity and comprehension.

What is the first step in multiplying polynomials?

• Divide the terms

• Subtract the exponents

• Distribute each term

• Add the coefficients

In the expression 6b(2b + 3), what is the result of distributing 6b?

• 6b^2 + 18

• 6b^2 + 3b

• 12b^2 + 18b

• 12b + 18

How do you handle negative coefficients when distributing?

• Subtract the negative sign from the result

• Multiply the negative sign with each term

• Add the negative sign to the result

• Ignore the negative sign

What is the result of distributing 2x across (−2x − 3)?

• 2x^2 + 3x

• −2x^2 − 3x

• 4x^2 + 6x

• −4x^2 − 6x

When distributing a monomial across a binomial, what should you do if there are no like terms?

• Combine the terms

• Add a constant to each term

• Multiply each term separately

• Leave the expression as is

What is the result of distributing 8p across (6p + 2)?

• 48p^2 + 16p

• 6p^2 + 8p

• 8p^2 + 2p

• 48p + 16

How do you simplify the expression after distributing?

• Add all terms together

• Subtract the terms

• Divide the terms

• Combine like terms

What is the result of distributing 3x across (4x + 3)?

• 4x^2 + 3x

• 12x^2 + 9x

• 7x^2 + 3x

• 3x^2 + 12x

In the expression 6k(5k + 5), what is the result of distributing 6k?

• 30k^2 + 30k

• 30k + 5

• 6k^2 + 5k

• 5k^2 + 6k

What is the result of distributing 7k across (k^2 − 2k + 7)?

• 7k^2 − 2k + 7

• 7k^3 + 2k^2 + 7k

• k^3 − 14k + 7

• 7k^3 − 14k^2 + 49k