Math 3 EOC Review 1

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) = 0.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, you can use factoring, the quadratic formula, or synthetic division.

Front

What is the Factor Theorem?

Back

The Factor Theorem states that if f(c) = 0 for a polynomial f(x), then (x - c) is a factor of f(x).

Front

What is the relationship between a polynomial and its factors?

Back

A polynomial can be expressed as a product of its factors, which are linear or quadratic expressions.

Front

What does it mean for a polynomial to have a factor?

Back

If a polynomial has a factor, it means that when the polynomial is divided by that factor, the remainder is zero.

Front

What is the inverse of a function?

Back

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f^{-1}(x).

Front

How do you determine if a polynomial is factorable?

Back

A polynomial is factorable if it can be expressed as a product of two or more polynomials of lower degree.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear factor.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial's graph.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n ≠ 0.