EOC Review 12/6

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function evaluates to zero, meaning the graph of the function intersects the x-axis.

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 using factoring, the quadratic formula, or numerical methods.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What is the centroid of a set of points?

Back

The centroid is the average of the x-coordinates and the average of the y-coordinates of a set of points, representing the center of mass.

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division.

Front

What is the quotient in division?

Back

The quotient is the result of dividing one number (the dividend) by another (the divisor).

Front

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

Back

A rational expression is a fraction where the numerator and denominator are polynomials, while a polynomial is an expression that consists of variables raised to non-negative integer powers.

Front

What is the process to simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and denominator by the least common denominator (LCD) of the fractions involved.

Front

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

Back

The leading coefficient determines the end behavior of the polynomial function and influences the shape of its graph.

Front

What is the quadratic formula?

Back