2.2 Polynomial Function of Higher Degree

End Behavior

100

Determine the end behavior of f(x)=2x^4-3x+1

Rises to left and rises to the right

200

Find the end behavior of h(x)=1-x^6

falls to the left and falls to the right

300

Find the end behavior of f(x)=2x^3-3x+1

falls to the left and rises to the right

400

Find the end behavior of f(x)=-7(s^3+5s^2-7s+1)

Rises left and falls right

500

Determine the end behavior f(x)=-2/3(t^2-5t+3)

falls to the left and falls to the right

Zero & Multiplicity

100

find the zero(s) and the multiplicity for each zero f(x)=x^2-4

zeros:x=-2 ; x=2 multip:1 ; 1

200

find the zero(s) and the multiplicity for each zero f(x)=x^2-9

zero:x=-3 ; x=3 multip: 1 ; 1

300

find the zero(s) and the multiplicity for each zero f(x)=x^2+10x+25

zero:x=-5 mutip:2

400

find the zero(s) and the multiplicity for each zero f(x)=t^3-4t^2+4t

zero: t=0 ; t=2 ; multip: 1 ; 2

500

find the zero(s) and the multiplicity for each zero f(x)=x^4-x^3-20x^2

zero: x=0 ; x=-4 ; x=5 multip; 2 ; 1 ; 1

Find polynomial with given zeros

100

Find the polynomial with the given zeros: 0,2

x^2-2x

200

Find the polynomial with the given zeros: 0,2,5

x^3-7x^2-10x

300

Find the polynomial with the given zeros:-7,2

x^2+5x-14

400

Find the polynomial with the given zeros:

x^3+5x^2-6x

500

Find the polynomial with the given zeros:

x^4-4x^3-9x^2+36x

Find polynomial function with given zeros, multiplicity and degree

100

Find polynomial function with given zeros, multiplicity and degree: zero:2, multi:2 | zero:-1 , multip: 1 | degree: 3

x^3+5x^2+8x+4

200

Find polynomial function with given zeros, multiplicity and degree: zero: -1, multi: 2 | zero:-2 , multi:1 | degree: 3

-x^3-4x^2-5x-2

300

Find polynomial function with given zeros, multiplicity and degree: zero: -4, multi: 2 | zero:3 , multi:2 | degree: 4

x^4+2x^3-23x^2-24x+144

400

Find polynomial function with given zeros, multiplicity and degree: zero: 3, multi: 1 | zero:2 , multi:3 | degree: 4

x^4-9x^3+30x^2-44x+24

500

Find polynomial function with given zeros, multiplicity and degree: zero: -5, multi: 3 | zero:0 , multi:2 | degree: 5

x^5+15x^4+75x^3+125x^2