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Operation of Complex Numbers

100

3+4+6i

7+6i

200

-8i-7i

-15i

300

-1-8i-4-i

-5-9i

400

7+i+4+4

15+i

500

-3+6i-(-5-3i)-8i

2+i

Quadratics

100

x^2+14x+48=0

-6,-8

200

x^2-36=0

6,-6

300

x^2-11x+28=0

7,4

400

x^2+9x+18=0

-3,-6

500

x^2-6x-27=0

9,-3

Operations of Polynomials

100

(3x^3+4x^2+1)+(2x^+10)

3x^3+6x^2+11

200

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

8x^3+5x-1-4x^2

300

(9x^5-7x^3+x)+(6x^4+9x^3)

9x^5-6x^4+2x^3+x

400

(x+2)(x-2)

4

500

(x+9)(x^2+7x)

x^3+16x^2+63x

Binomial Expansion

100

(1+2a)^5

32a^5+80a^4+80a^3+40a^2+10a+1

200

(5b+1)^3

125b^3+75b^2+15b+1

300

(3u+1)^5

243u^5+405u^4+270u^3+90u^2+15u+1

400

(2y^2-1)^6

64y^12-192y^10+240y^8-160y^6+60y^4-12^2+1

500

(1+2x^3)^5

32x^15+80x^12+80x^9+40x^6+10x^3+1

Rational Root Theorem

100

f(x)=x^3-27

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

200

f(x)=2x^4-9x^3

x^3(2x-9)

300

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

2(x+2)x^3

400

f(x)=15x^2+2x

x(15x+2)

500

f(x)=25x^4+6x^2

x^2(25x^2+6)