Polynomial Terms and Their Properties

Carlea Mcavoy introduces basic polynomial vocabulary, focusing on coefficients, degrees, and terms. She explains how to identify coefficients and degrees, arrange polynomials in descending order, and recognize the lead term. The video also covers the concept of like terms and how to combine them, emphasizing the importance of matching variables and powers.

What is the coefficient in the term -5x?

• 5

• -5

• 0

• x

If a term is written as 3x^4, what is the degree of this term?

• 3

• 4

• 7

• 1

Which term should come first when arranging in descending order: 4x^3 or 6x^5?

• Order doesn't matter

• 4x^3

• 6x^5

• They are equal

What is the lead coefficient in the polynomial 6x^5 + 4x^3 - 5x^2?

• 4

• 5

• 6

• 3

How is the degree of a polynomial determined?

• By the smallest term

• By the lead term

• By the number of terms

• By the constant term

What happens to subtraction when separating terms in a polynomial?

• It is rewritten as addition

• It remains subtraction

• It becomes multiplication

• It is ignored

What is the degree of the polynomial 6x^5 + 4x^3 - 5x^2?

• 6

• 5

• 3

• 2

Which of the following pairs are like terms: 3x^2 and 5x^2?

• Yes, they are like terms

• No, they are not like terms

• Only if coefficients are equal

• Only if they have the same sign

Can 7x^3 and 7x^2 be combined as like terms?

• Yes

• No

• Only if coefficients are equal

• Only if they have the same sign

Which of the following is true about like terms?

• They must have the same coefficient

• They must have the same variable and power

• They must be positive

• They must be negative