Polynomial Functions

Long division

100

4x²-5x-21/x-3

Q=4x+7

R=0

200

4x²-5x-21 / x-3

4x+7 

300

2x³-5x²-8x+15 / x-3

2x²+x-5

400

3x⁴+x³+x²-12x+5 / x+1

3x³-3x²+3x-15

R 20

500

2x⁴+5x³+7x²+16x+15 / 2x+3

X³+x²+2x+5

Building Polynomial Functions

100

Find the graph AND roots

y= x(x-2)(x+5)

GRAPH ON BOARD

-5, 0, 2

200

Find the graph AND roots

Y= x(x+4)(x-3)

GRAPH ON BOARD

-4, 3

300

Find the zeros of each function 

Y=(x+1)(x-1)(x-3)

-1,1,3

400

Find the zeros of the functions

Y=(x+2)(x-3)

-2, 3

500

Find the graph AND the roots 

f(x)=-3x(x+3)²(2x-3)

GRAPH ON BOARD

-3, 0, 3/2 (OR 1.5)

Synthetic division

100

2x²+3x-1/x+1

Q=2x+1

R=-2

200

X²-7x-11/x-8

X+1

R -3

300

X²-28/x-5

X+5

R -3

400

2x⁷+4x⁶-x⁵+2x⁴+x²-2 / x+2

2x⁶+x⁵-1x⁴+4x³-8x²+17x-34

r 66

500

5x⁴+x²-8x+2/ x-4

5x³+20x²+81x+316 

R 1266

Building polynomials with a table

100

Graph f(x)=x⁵-2x³+1

and build the table 

(-2,-15)

(-1, 2)

(0, 1) 

(1, 0)

(2,17) 

200

Find the table for

F(x)=-x(x+2)(x-3)

(-2,0)

(-1,-4)

(0,0)

(1,6)

(2,8)

300

Find the table for

-x(x-1)(x+3)

(-2, -6)

(-1, -4)

(0, 0)

(1, 0)

(2, -10)

400

Find the table 

X(x-5)(x+9)

(-2, 98)

(-1, 48) 

(0, 0)

(1, -40) 

(2, -66)

500

Find the table

Y= - -x(x-3)(x+4)(x-9)

(-2, -220)

(-1, -120)

(0, 0)

(1, 80)

(2, 84)

Mystery Questions

100

Where is the tallest tree in America?

California 

200

How many legs does a lobster have?

10 legs

300

What is Dallas Berry named after 

Her Dad 

400

What is Barack Obamas middle name 

Hussein

500

How many brains does an octopus have?

9