Understanding Polynomial Factorization and Graphing

What does it mean when X plus 2 is a factor of a polynomial?

• It means the polynomial has a remainder when divided by X plus 2.

• It means X plus 2 is a zero of the polynomial.

• It means X plus 2 is not a factor of the polynomial.

• It means the polynomial is not divisible by X plus 2.

In synthetic division, what should you do if a term is missing in the polynomial?

• Ignore the missing term.

• Use a placeholder zero for the missing term.

• Skip the division process.

• Add a random number for the missing term.

What is the result of synthetic division when X plus 2 is a factor of the polynomial?

• An increase in the polynomial's degree.

• A zero remainder.

• A non-zero remainder.

• No change in the polynomial.

Which two numbers multiply to negative 4 and add to positive 3 in the factorization process?

• Positive 3 and negative 3

• Positive 2 and negative 2

• Positive 1 and negative 4

• Positive 4 and negative 1

What does the leading coefficient of a polynomial indicate about its graph?

• The graph will go down to the right if the leading coefficient is positive.

• The graph will always go down to the right.

• The graph will always go up to the left.

• The graph will go up to the right if the leading coefficient is positive.