Review - Complex & Polynomial

Complex Numbers

100

i^2

-1

200

i^12

1

300

sqrt(-48

4isqrt3

400

(-1-7i)-(2-8i)

-3 + i

500

(-5-7i)(-8+5i)

75+31i

Poly Names

100

8

Constant Monomial 

200

x^2+8x-11

Quadratic Trinomial 

300

8x^3+22

Cubic Binomial 

400

9x+5

Linear Binomial 

500

8x^7+12x^5-9x+10

7th Deg. Poly.

Poly + - x

100

(8+5x^4)+(5x^4-7x^2-3)

10x^4-7x^2+5

200

5m^4(8m+1)

40m^5+5m^4

300

(4v+3)(2v+5)

8v^2+26v+15

400

(1-a^2-2a^4)-(7a^4+2a^3)

-9a^4-2a^3-a^2+1

500

7x^2+11x+6=0

(-11+-isqrt47)/14

Finding Roots

100

3x^3-17x^2+25x-11=0

11/3,1,1

200

7x^3+41x^2+29x-5=0

1/7,-5,-1

300

3x^3+5x^2-19x+11=0

1,1,-11/3

400

5x^5-21x^4+19x^3-3x^2=0

0,0,1/5,3,1

500

8x^4-12x^3+2x^2+3x-1=0

1/2,1/2,-1/2,1

End Behavior

100

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

L: -inf

R: -inf

200

f(x)=x^5-3x^3+x-4

L: -inf

R: +inf

300

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

L: +inf

R: -inf

400

f(x)=x^2-2x+1

L: +inf

R: +inf

500

12x^2+4x+2=0

(-1+-isqrt5)/6