Distributive Property and Polynomial Operations

The video tutorial explains the distributive property, which involves multiplying a term outside parentheses by each term inside. It demonstrates this with a polynomial and monomial, showing step-by-step multiplication and simplification. The final expression is ordered by descending degree.

What does the distributive property help us do when dealing with terms inside and outside parentheses?

• Multiply terms inside by terms outside

• Divide terms inside by terms outside

• Add terms together

• Subtract terms from each other

When using the distributive property, how should a monomial be multiplied with a polynomial?

• Multiply the monomial by the first term only

• Multiply the monomial by the last term only

• Multiply the monomial by each term in the polynomial

• Multiply the monomial by the sum of the polynomial terms

In the example given, what is the first step in applying the distributive property?

• Multiply 3x by 4X

• Add all terms together

• Divide 3x by 5x squared

• Subtract 3x from 6

What is the result of multiplying 3x by 5x squared in the example?

• 15x squared

• 15x cubed

• 15x to the fourth

• 15x

What is the result of subtracting 3x times 6 in the example?

• 18

• 18x

• 18x cubed

• 18x squared

Why is it important to write the final expression in descending order of degree?

• It makes the expression easier to read

• It is a requirement of the distributive property

• It is a standard mathematical practice

• It helps in identifying the highest degree term

What is the final simplified expression in the example?

• 12x squared + 15x cubed - 18x

• 18x - 12x squared + 15x cubed

• 15x squared + 12x cubed - 18x

• 15x cubed + 12x squared - 18x