Characteristics of Polynomials in Standard Form

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the leading coefficient for this function?
  f(x) = -x³ + 7x

• 3

• 4

• 1

• -1

• 0

Tags

CCSS.HSF-IF.C.7C

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

• even
• odd

Tags

CCSS.HSF.BF.B.3

What is the leading coefficient of the polynomial?
  9x⁵ + 2x⁴ - x³ + 9x² - 2

• 5
• 9
• 2
• 4

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

• Boss coefficient
• Leading coefficient
• Best coefficient
• Greatest common coefficient

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

• 1
• 2
• 3
• 4

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Up on the Left

  Up on the Right

• Down on the Left

  Up on the Right

• Up on the Left

  Down on the Right

• Down on the Left

  Down on the Right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The polynomial has an...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Find the zeros.

• x = 0 and 4
• x = 0 and -4
• x = 0
• x = -4

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What type of polynomial could be represented by this graph?

• Even Degree

  - Leading Coefficient

• Even Degree

  + Leading Coefficient

• Odd Degree

  - Leading Coefficient

• Odd Degree

  + Leading Coefficient

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7