Polynomial FunctionsSection 5.1

The degree of a polynomial is the greatest exponent of the variable.

The degree of a polynomial is the greatest exponent of the variable.

The degree of a polynomial is the greatest exponent of the variable.

1

The degree of a polynomial is the greatest exponent of the variable.

1

Degree Name of polynomial

0 Constant

1 Linear

2 Quadratic

3 Cubic

4 Quartic

5 Quintic

The degree of a polynomial is the greatest exponent of the variable.

1 Degree 2 polynomial-quadratic

Degree Name of polynomial

0 Constant

1 Linear

2 Quadratic

3 Cubic

4 Quartic

5 Quintic

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

1

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

A leading coefficient is the coefficient of the first term when the polynomial is in standard form. It has important use!

The standard form of a polynomial function arranges the terms by degree in descending numerical order.

Signs in front of terms go with the

term.

1

A leading coefficient is the coefficient of the first term when the polynomial is in standard form. It has important use!

Write each polynomial in standard form. Then classify it by degree and state the leading coefficient.

1. 4x3 3 + 2x2

4. 8 x5 + 9x2 2x

3. 6x + 2x4 2 2. 3 + 24x2

5. -13 + x 6. 8

Write each polynomial in standard form. Then classify it by degree and state the leading coefficient.

1. 4x3 3 + 2x2

4. 8 x5 + 9x2 2x

3. 6x + 2x4 2 2. 3 + 24x2

5. -13 + x 6. 8

4x3 + 2x2 3CubicL.C. 4

Write each polynomial in standard form. Then classify it by degree and state the leading coefficient.

1. 4x3 3 + 2x2

4. 8 x5 + 9x2 2x

3. 6x + 2x4 2 2. 3 + 24x2

5. -13 + x 6. 8

4x3 + 2x2 3CubicL.C. 4

24x2 + 3QuadraticL.C. 24

2x4 + 6x 2QuarticL.C. 2

x5 + 9x2 2x + 8 QuinticL.C. -1

x – 13LinearL.C. 1

8ConstantL.C. None

Graph each function using the domain x = -2, -1, 0, 1, 2, 3.

x y

-2 -2

-1 2

0 0

1 -2

2 2

3 18

Graph each function using the domain x = -2, -1, 0, 1, 2, 3.

x y

-2 30

-1 -1

0 0

1 3

2 2

3 15