Algebra 2.

Quadratics

100

2x²+50

x=+,- 5

200

m^2-11=38

m= +,- 7

300

3x²-7x+2

x= 2 and 1/3

400

(p-4)²=16

p= 8,0

500

(x-9)² =64

x= 17,1

Operation of Complex Numbers

100

(3+4i)(4+i)

12+19i-4

200

(6-3i)(3-i)

15-15i

300

(4-2i)²

12-16i

400

(5-3i)²

16-30i

500

(9-5i)(7+4i)

83+i

Operations of Polynomials

100

7x+5-7x

5

200

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

8

300

3x(4x-12)

12x²-36x

400

(3x-5)(5x+2)

15x²-19x-10

500

(x+13)(x-6)

x²+7x-78

Binomial Expansion

100

(y-4)⁴

1y⁴-16y³+96y²-256y-256

200

(2m-1)⁴

16m⁴-32m³+24m²-8m+1

300

(x⁴-5y)⁵

x²⁰-5x¹⁶y+10x¹²y²-10x⁸y³+5⁴y⁴-y⁵

400

(4n+3)³

64n³+144n²+108n+27

500

(2y-x)⁷

128y⁷-448y⁶x+672y⁵x²-560y⁴x³+280y³x⁴-84y²x⁵+14yx⁶-x⁷

Rational Root Thereom

100

x³-5x²+2x+8

roots= 4,2, and 1

200

f(x)= 5x³-32x²+37x-10

roots= 1,5, and 2/5

300

2x³+13x²+17x-12

roots= -3,1/2, and -4