Math 3 EOC Review

Front

What is the Remainder Theorem?

Back

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

Front

If p(5) = -8 for the polynomial p(x), what can we conclude?

Back

The remainder of p(x) divided by (x - 5) is -8.

Front

What does it mean if a polynomial has a root with multiplicity 2?

Back

The graph will bounce off the root at that point.

Front

What is the difference between an observational study and an experiment?

Back

An observational study observes subjects without intervention, while an experiment involves manipulation of variables.

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which f(x) = 0.

Front

How do you determine if a rational expression is equivalent to another?

Back

You can simplify both expressions and see if they yield the same result.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable and determines the polynomial's end behavior.

Front

What does it mean for a polynomial to be factored?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial has at least one complex root.