Distributive Property and Polynomial Multiplication

The video tutorial explains the distributive property, which is used to multiply a single term by multiple terms within parentheses. It demonstrates how to distribute a term over addition and subtraction, and then applies the distributive property to multiply a constant by a polynomial, showing step-by-step calculations.

What does the distributive property allow you to do with a single term and multiple terms within parentheses?

• Divide the single term by each term inside the parentheses

• Subtract the terms from each other

• Add the terms together

• Multiply the single term by each term inside the parentheses

In the example given, what is the result of distributing 'a' across the terms 'b', 'c', and 'd'?

• a + b + c + d

• a * b * c * d

• a * b + a * c - a * d

• a * b - a * c + a * d

When multiplying a polynomial by a constant, what is the first step according to the distributive property?

• Multiply the constant by the first term only

• Subtract the constant from each term

• Add the constant to each term

• Distribute the constant across each term in the polynomial

What is the result of multiplying 6 by the first term 3m^4 in the polynomial?

• 3m^4

• 9m^4

• 18m^4

• 6m^4

After distributing 6 across the polynomial, what is the result of 6 multiplied by -2m^2?

• -12m^2

• -6m^2

• 6m^2

• 12m^2

What is the final result of multiplying 6 by the last term, 4, in the polynomial?

• 28

• 16

• 20

• 24