Algebra 2: Polynomial Review

Polynomial???

100

Polynomial Function?? If yes, identify the degree, type, and leading coefficient.

f(x)=x^4+sqrt4 x-1

Yes.

Degree: 4

Type: Quartic

Leading Coefficient: 1

200

Polynomial Function?? If yes, identify the degree, type, and leading coefficient.

f(x)=x^-3+4 x-1

No.

300

Polynomial Function?? If yes, identify the degree, type, and leading coefficient.

f(x)=x^4+sqrtx-1

No.

Polynomial Add/Subt.

100

(4x^3-12x^2-5)-(-8x^2+4x+3)

4x^3-4x^2-4x-8

200

(x^4+3x^3-x^2+6)+(2x^4-3x+9)

3x^4+3x^3-x^2-3x+15

300

(3x^2+9x+13)-(x^2-2x+12)

2x^2+11x+1

Polynomial Mult.

100

(2y^2+4y-7)(y+3)

2y^3+10y^2+5y-21

200

(x+2)(x+4)(x-3)

x^3+3x^2-10x-24

300

(3x-1)(x^2-3x+2)

3x^3-10x^2+9x-2

Polynomial Division

100

(x^2+8x+1)-:(x-4)

x+12+(49)/(x-4)

200

(4x^4-2x^3+x^2-5x+8)-:(x^2-2x-1)

4x^2+6x+17+(35x+25)/(x^2-2x-1)

300

(x^4-x^2-7)-:(x+4)

x^3-4x^2+15x-60+(233)/(x+4)

Solving Polynomials

100

f(x)=4x^3-40x^2+36x

x=0,1,9

200

9x^5=27x^3

x=0,sqrt3,-sqrt3

300

f(x)=2x^3-8x^2+8x

x=0,2

400

2x^4-6x^3=12x^2-36x

x=0,3,sqrt6,-sqrt6