Polynomial features 3.1

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = -5x + 2x³

• The leading coefficient is 2
• The leading coefficient is 3
• The leading coefficient is 4
• The leading coefficient is -5

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

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

• 2

• 3

• 4

• 1

• -9

• 2

• 5

• - 2

Simplify:

• 9n³ + 4n
• 7n³ + 6
• -3n³ + 2
• 7n⁶ + 6

Tags

CCSS.7.EE.A.1

Based on the end behavior of the polynomial, what best describes the leading coefficient?

• a negative real number
•  a positive real number
• an even real number
• an odd real number

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number
• a positive real number
• an odd real number
• an even real number

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