Math III EOC Review #3

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. It is also known as a root or solution of the equation.

Front

How do you find the zeros of a quadratic function?

Back

To find the zeros of a quadratic function in the form ax² + bx + c = 0, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

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

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is exponential decay?

Back

Exponential decay is a decrease in a quantity that follows the form y = a(1 - r)ⁿ, where a is the initial amount, r is the decay rate, and n is the time period.

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 equal to f(c).

Front

How do you evaluate a polynomial at a given value?

Back

To evaluate a polynomial at a given value, substitute the value for x in the polynomial and simplify.

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

What is the difference between a rational number and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.