Unit 3 Algebra I Test

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) equals zero.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the function equal to zero and solve for x.

Front

What is the significance of the degree of a polynomial in relation to its zeros?

Back

The degree of a polynomial indicates the maximum number of zeros it can have.

Front

What is synthetic division and when is it used?

Back

Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by x-c is f(c).

Front

What is the Factor Theorem?

Back

The Factor Theorem states that x-c is a factor of the polynomial f(x) if and only if f(c) = 0.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the difference between a rational function and a polynomial function?

Back

A rational function is a ratio of two polynomials, while a polynomial function is a sum of terms with non-negative integer exponents.

Front

What is the purpose of graphing a polynomial function?

Back

Graphing a polynomial function helps visualize its behavior, including its zeros, intercepts, and end behavior.

Front

What are the characteristics of even and odd degree polynomials?

Back

Even degree polynomials have a U-shaped graph and can have a minimum or maximum; odd degree polynomials have an S-shaped graph and cross the x-axis.