Zeros of a Function

Front

Determine the roots of the polynomial: f(x) = -6x(x+4)(x-2)

Back

0, -4, 2

Front

How many zeros does this parabola have? f(x) = ax^2 + bx + c

Back

2

Front

What do we call the graph of a quadratic function?

Back

parabola

Front

What is another way to say 'where a function crosses the x-axis'?

Back

x-intercept, zero, root, all of these.

Front

Determine the roots of the polynomial: f(x) = -x(x+1)(x-3)

Back

0, -1, 3

Front

What is a zero of a function?

Back

A value of x for which f(x) = 0.

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

A polynomial of degree n can have at most n zeros.

Front

What is the significance of the x-intercepts in a graph?

Back

They indicate the points where the function crosses the x-axis.

Front

How can you find the zeros of a quadratic function?

Back

By factoring, using the quadratic formula, or completing the square.

Front

What does it mean if a polynomial has complex roots?

Back

It means the polynomial does not cross the x-axis at those points.