Simplifying Polynomials Using the Distributive Property

This video tutorial teaches how to simplify polynomials using the distributive property. It begins with a review of the distributive property, followed by several example problems that demonstrate how to apply the property and combine like terms. The tutorial covers both basic and advanced problems, emphasizing the importance of showing work and understanding the role of coefficients and constants. The video concludes with a summary of key concepts and encourages students to practice the techniques learned.

What is the main operation involved in the distributive property?

• Multiplication

• Division

• Addition

• Subtraction

When using the distributive property, what should you do if there is no sign between a number and parentheses?

• Assume division

• Assume addition

• Assume subtraction

• Assume multiplication

In the example problem, what is the result of combining 12x and 21x?

• 33x

• 32x

• 31x

• 30x

What should you do if there is no number in front of a variable in a distributive property problem?

• Assume it is three

• Assume it is two

• Assume it is one

• Assume it is zero

What is the result of combining like terms in the expression 2x^2 and -3x^2?

• -1x^2

• -5x^2

• 1x^2

• 5x^2

What happens to the signs when multiplying by negative one in the distributive property?

• They reverse

• They become negative

• They become positive

• They stay the same

In the example with negative coefficients, what is the result of -12x combined with 5x?

• -17x

• -7x

• 17x

• 7x

What is the result of combining the constants -16 and 21 in the final example?

• -5

• 5

• -37

• 37

What is the standard form of the expression x^2 - 7x + 5?

• 5 - 7x + x^2

• x^2 + 5 - 7x

• -7x + 5 + x^2

• x^2 - 7x + 5

Why is it important to write expressions in standard form?

• It makes them easier to read

• It changes the value of the expression

• It is required for all math problems

• It simplifies the calculation