Graphing Polynomials in Factored Form

Reteach Graph Polynomials in Factored Form

 I can graph polynomial functions and identify key features including zeros, y-intercepts & end behavior

Multiple Choice

What is the leading coefficient?

f(x)= -5(x+3)²(x-1)(x+5)

Is it + or - ?

• 2

  Positive

• -1

  Negative

• -5

  Negative

• 5

  positive

Multiple Choice

What is the leading coefficient?

f(x)=(x+5)(x+1)(x-3)

Is it + or - ?

• 1

  Positive

• -1

  Negative

• -5

  Negative

• 5

  positive

Multiple Choice

What is the leading coefficient?

f(x)= -x(x+1)²(x-5)

Is it + or - ?

• 1

  Positive

• -1

  Negative

• -5

  Negative

• 5

  positive

Multiple Choice

What is the degree of the polynomial?

f(x)= -5(x+3)²(x-1)(x+5)

Is it EVEN or ODD?

• Degree 4

  Even

• Degree 2

  Even

• Degree 3

  Odd

• Degree 5

  Odd

Multiple Choice

What is the degree of the polynomial?

f(x)= (x+5)(x+1)(x-3)

Is it EVEN or ODD?

• Degree 4

  Even

• Degree 2

  Even

• Degree 3

  Odd

• Degree 5

  Odd

Multiple Choice

What is the degree of the polynomial?

f(x)= -x(x+1)²(x-5)

Is it EVEN or ODD?

• Degree 2

  Even

• Degree 3

  Odd

• Degree 4

  Even

• Degree 5

  Odd

​Draw the

end behavior

​Draw the

end behavior

Multiple Choice

What is the end behavior of the following graph

f(x)= -5(x+3)²(x-1)(x+5)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

Multiple Choice

What is the end behavior of the following graph

f(x) =(x+5)(x+1)(x-3)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

Multiple Choice

What is the end behavior of the following graph

f(x) = -x²(x+1)²(x-5)

Is the leading coefficient + or - ?

Is the degree EVEN or ODD?

Multiple Choice

What is the end behavior of the following graph

f(x) = 7x³ + 2x - 12

Poll

Learning Target Check In

 I can identify key features including end behavior

• I can do this with some help

• I can do most of this but I have questions

• I can do this by myself

• I can do this well enough to teach it to someone else

Multiple Choice

What is the leading coefficient?

• +

  Positive

• -

  Negative

• Neither

Multiple Choice

What is the degree?

• EVEN

• ODD

• Neither

Multiple Choice

What is the y-intercept?

• -1

• 2

• 1

• -4

• 4

Multiple Select

What are the x-intercept?

Choose all that apply

• -1

• 2

• 1

• -4

• 4

Multiple Choice

Does it bounce or cross at x=4?

• bounce

• cross

• neither

Multiple Select

Which x-intercept bounces?

Choose all that apply

• -1

• 2

• 1

• -4

• 4

Multiple Select

Write the equation to the graph in factored form.

Click all factors that apply

• (x+4)

• (x+1)

• (x+1)²

• (x-2)

• (x-4)

Multiple Choice

What is the degree?

• 2

• 3

• 4

• 5

• 6

Multiple Select

2.) f(x)= -(x+4)²(x-2)²

LEADING COEFFICIENT: + or -

DEGREE: Even or Odd

• +

  Positive

• -

  Negative

• 2

  Even

• 4

  Even

Multiple Choice

2.) f(x)= -(x+4)²(x-2)²

What is the end behavior of the following graph?

Multiple Choice

2.) f(x)= -(x+4)²(x-2)²

What is the y-intercept?

• 64

• -64

• 8

• -16

• 16

Poll

Choose the picture that describe your feeling about finding the y-intercept

Multiple Select

2.) f(x)= -(x+4)²(x-2)²

What are the x-intercept?

Choose all that apply

• -2

• 2

• -4

• 4

• 8

Multiple Choice

2.) f(x)= -(x+4)²(x-2)²

Does the x-intercept x=-4

bounce or cross the x-axis?

• cross

• bounce

Multiple Choice

2.) f(x)= -(x+4)²(x-2)²

Does the x-intercept x=2

bounce or cross the x-axis?

• cross

• bounce

Draw

2.) Sketch the graph

Poll

Did you graph it correctly?

• Yes

• No

Poll

Learning Target Check In

 I can graph polynomial functions and identify key features including zeros(x-intercepts), y-intercepts & end behavior

• I can do this with some help

• I can do most of this but I have questions

• I can do this by myself

• I can do this well enough to teach it to someone else

YOUR TURN