Polynomial Functions Degree and Leading Coefficients

• degree: 3

  leading coefficient: 4

• degree: 6

  leading coefficient: 4

• degree: 6

  leading coefficient: -1

• degree: 6

  leading coefficient: 8

Mathematical Equivalence

ON

What is the leading degree of the polynomial?

Mathematical Equivalence

ON

What is the degree of this polynomial function?  Is the leading coefficient positive or negative?
(Note: quartic means 4th degree, cubic means 3rd degree polynomials)

• quartic polynomial with a negative leading coefficient.

• quartic polynomial with a positive leading coefficient.

• cubic polynomial with a negative leading coefficient.

• cubic polynomial with a positive leading coefficient.

What is the degree of this polynomial function?  Is the leading coefficient positive or negative?
(Note: quartic means 4th degree, cubic means 3rd degree polynomials)

• quartic polynomial with a negative leading coefficient.

• quartic polynomial with a positive leading coefficient.

• cubic polynomial with a negative leading coefficient.

• cubic polynomial with a positive leading coefficient.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Match the following

• Coefficient

  of term with

  highest

  power

• Leading

  Term

• Highest

  Power

• Leading

  Coefficient

• Term with

  highest

  power

• Powers of

  polynomials

  must be...

• Real Numbers

• Degree of

  polynomial

• Positive

  integers

  (0, 1, 2, 3, ...)

• Coefficients

  can be...

Match the EXTREMA

Accordingly

• at x=1

• Relative

  Minimum(s)

• at x=-2,

  x=3

• Absolute

  Minimum of

• -4

  when x=3

• Absolute

  Maximum of

• NONE

• Relative

  Maximum(s)

Classify by degree of polynomial:
3x³ – 6x

• Constant

• Linear

• Quadratic

• Cubic