Saturdays are for the bois

Writing Polynomials in standard form

100

5x+9+15x^2

15x^2+5x+9

200

17x+x+10+36x^2

36x^2+18x+10

300

70+10+23x^2+19x

23x^2+19x+80

400

410x^2+50x^2+63

+4x+10+8x

460x^2+12x+73

500

26+42+36x+27x

+47x²+9x²

56x²+63x+68

Writing polynomials in factored form

100

x³+5x²+6x

x(x+3)(x+2)

200

x³-4x

x(x-2)(x+2)

300

x³+8x²+15x

x(x+5)(x+3)

400

x³+6x²+8x

x(x+4)(x+2)

500

x³-200x²+1000x

x(x-100)(x-100)

Synthetic Division

100

(x²-6x+8)/(x-2)

x-4

200

(2x²-6x+4)/(x-2)

2x-2

300

(x³-6x²+7x+6) / (x-3)

x²-3x-2

400

(2x³-3x²+4x+5)/(x+2)

2x²+x+18-31/x+2

or remainder -31

500

(x⁴-7x²+9x-10) / x-2

x³+2x²-3x+3-4/x-2

or remainder -4

Simplifying Radical Expressions

100

sqrt(12)

2sqrt(3)

200

sqrt(16x³)

4x sqrt(x)

300

4sqrt(24x²y)

8x sqrt(6y)

400

³sqrt(16x⁴y²)

2x ³sqrt(2xy²)

500

5 ⁴sqrt(32x³y⁹z⁵)

10y²z ⁴sqrt(2x³yz)

Solving Radical Expressions

100

sqrt(x+2)=6

x=34

200

sqrt(2x-4)+4=8

x=10

300

sqrt(7x-21) - 14=-7

x=10

400

³sqrt(x+2)=2

x=6

500

sqrt(10x-4)=x+2

x=4,2