Math 3 EOC Review Day 4.0

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the remainder theorem in polynomial division?

Back

The remainder theorem states that the remainder of the division of a polynomial p(x) by x - c is equal to p(c).

Front

How do you find the zeros of a function?

Back

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

Front

What does it mean for a fraction to be in simplest form?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Front

What is the significance of vertical asymptotes in a graph?

Back

Vertical asymptotes indicate values of x where the function approaches infinity or negative infinity.

Front

How do you determine if a polynomial is divisible by a linear factor?

Back

A polynomial p(x) is divisible by a linear factor x - c if p(c) = 0.

Front

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

Back

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

Front

What is the process for simplifying a fraction?

Back

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

How can you identify the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.