Polynomial Functions and Their Properties

Identifying the degree of the polynomial

Calculating the derivative of the polynomial

Determining when the polynomial equals zero

Finding the maximum value of the polynomial

x = 1

x = 0

x = -3

x = 3

They have more complex graphs

They have more than one zero

They cannot be solved using basic arithmetic

Their degree is higher than one

The graph crosses the x-axis

The graph touches the x-axis but does not cross it

The graph has no x-intercepts

The graph is symmetrical

x + k raised to the n power

x * k raised to the n power

x - k raised to the n power

x / k raised to the n power

Setting f(x) equal to zero

Graphing the polynomial

Identifying the degree

Finding the derivative

x^3

x^2

6

x

Differentiation

Graphing

Substitution

Integration

6 and -1

2 and -3

3 and -2

1 and -6

x = 0, -2, 3

x = 0, 2, -3

x = 0, -3, 2

x = 0, 3, -2