Creating Polynomials & Volume Box Problems

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

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

What is the degree of the polynomial?

• 2
• 3
• 4
• 5

SHOW YOUR WORK

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Tags

CCSS.HSA.APR.A.1

SHOW YOUR WORK

(x-3)(x²+2x+7)

• x³-x²+x-21

• x³+5x+13x-21

• x³-3x²+7x-21

• x²+2x-3

Tags

CCSS.HSA.APR.A.1

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

How many roots or zeros does the equation f(x) = 5x⁴-8x³+4x²-6x+3 have? Hint: Look at the degree

• 3

• 4

• 5

• 0

SHOW YOUR WORK

If a quadratic function is represented as f(x) = (x - 7)(x + 8), find the zeroes.

• x = - 7 and x = 8

• x = 7 and x = -8

SHOW YOUR WORK

What are the zeros of the polynomial function? y = x(x - 6)(x + 5)

• 0, 6, -5

• 6, -5

• 0, -6, 5

• 1, -6, 5

Tags

CCSS.HSF-IF.C.7C