Polynomials

Classifying Polynomials

100

6x³

What is cubic monomial?

200

7x⁵-2x³

What is quintic binomial?

300

10x⁴+15x²-10x

What is quartic trinomial?

400

21x⁵+20x³-15x²+7x

What is quintic polynomial?

500

37x³-26x⁵+17x⁴+18x²-9

What is quintic polynomial?

End Behavior

100

2x³+5x²

What is 3rd degree, cubic binomial, 

x->-oo, y->-oo

x->oo, y->oo?

200

7x³+5x²-6x

What is 3rd degree, cubic trinomial, 

x->-oo, y->-oo

x->oo, y->oo?

300

3x³+7x-4x²+1

What is 3rd degree, cubic polynomial,

x->-oo, y->-oo

x->oo, y->oo?

400

-12x⁵+15x³+2x²

What is 5th degree, quintic trinomial, 

x->-oo, y->oo

x->oo, y->-oo?

500

x⁴-3x³+15x²+3x-2

What is 4th degree, quartic polynomial,

x->-oo, y->oo

x->oo, y->oo?

Writing Polynomials

100

x=-2,2,-1

What is x³+x²-4x-4?

200

x=0,5,2

What is x³-7x²+10x?

300

x=4,-5,-2

What is x³+3x²-18x-40?

400

x=1,-4,0,-1

What is x⁴+4x³-x²-4x?

500

x=-3,-5,3,-1

What is x⁴+6x³-4x²-54x-45?

Solve by graphing

100

f(x)=23x³+15x²

What is x=0,-0.652?

200

f(x)=3x²+8x-2

What is x=0.23, -2.897?

300

f(x)=2x⁴-4x³+1

What is x=.734, 1.931?

400

f(x)=-9x⁴-3x²+4

What is x=-0.721,-0.721?

500

f(x)=-4x³+2x+1-3x²

What is x=-1,-0.39,&0.64?

Dividing Polynomials

100

x³+1/x-1

What is x²+x+1, 2R?

200

5x²+3x-2/x+1

What is 5x-2?

300

2x³-8x²+9x-2/x-2

What is 2x²-4x+1?

400

3x³+5x²-11x+3/x+3

What is 3x²-4x+1?

500

6x³+11x²-31x+15/3x-2

What is 2x²+5x-7,1R?