Graphing Polynomials Day 1

Classify the polynomial by the highest degree.
  -3x + 1

• constant
• linear
• quadratic
• cubic

Put this polynomial in standard form:

 $7x+2x^2-3x^4$  

•  $2x^2+7x-3x^4$  

•  $-3x^4+2x^2+7x$  

•  $-3x^4+7x+2x^2$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Write this polynomial in standard form and identify its' leading coefficient:

 $7x^2-3x^5+1$  

•  $-3x^5+1+7x^2$   Leading coefficient = -3

•  $-3x^5+7x^2+1$    Leading coefficient = -3

•  $-3x^5+7x^2+1$    Leading coefficient = 3

Tags

CCSS.HSA.SSE.B.3

Review! Classify this polynomial:

 $8x^2-x+2$  

• quadratic trinomial

• cubic binomial

• linear trinomial

• quintic monomial

Write the polynomial in standard form and identify the leading coefficient:

 $20a^2+10a^6+12a+5$  

•  $5+12a+10a^6+20a^2$    Leading coefficient =  5

•  $12a+5+20a^2+10a^6$    Leading coefficient = 10

•  $10a^6+20a^2+12a+5$    Leading coefficient = 10

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the degree?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

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

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

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

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7