Basics of Polynomial Functions

Fill in the blank. The ________ is the number in front of the highest exponent of a variable in standard form.

• degree

• variable

• exponent

• leading coefficient

What is the degree of this polynomial?

• -3

• 12

• 1

What is the leading coefficient of this polynomial?

• 5

• 2

• -1

• LInear

• Quadratic

• Cubic
  

• Quartic

What is the degree of the polynomial?
  9x⁵ - x⁴ + 2x

• 9

• 5

• 4

• 2

What degree does the function have?
  f(x) = -2x³ + 7x

• even

• odd

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph. Determine the end behavior of the polynomial.

f(x) = 2x³ - x + 5

• Left up Right up

• Left up Right down

• Left down Right up

• Left down Right down

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even

• Leading Coefficient Positive
  Degree - Odd

• Leading Coefficient Negative
  Degree - Even

• Leading Coefficient Negative
  Degree - Odd

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree

• negative coefficient, odd degree

• negative degree, odd coefficient

• negative degree, even coefficient