geopardy

A/C method

100

2x²-9x+10

(2x-5)(x-2)

200

9x²+12x+4

(3x+2)²

300

9x²+31x+20

(9x-5)(x+4)

400

2x²-9xy+10y²

(x-2y)(2x-5y)

500

5r²-30r-200

5(r-10)(r+4)

adding polynomials

100

(x³+x²+6)+(-x³-x²+15)

21

200

(x²+3x-7)+(4x³+2x²-4)

4x³+3x²+3x-11

300

(x⁴+2x²-x)+(x³-x²+4x)

x⁴+x³+x²+3x

400

(x⁷+4x⁴-x+3)+(x⁵-2x⁴+4)

x⁷+x⁵+2x⁴-x+7

500

(6x⁴-3x²+4x+7)+(3x⁴+2x³-4x²-1)

9x⁴+2x³-7x²+4x+6

Dots

100

x²-4

(x+2)(x-2)

200

x²-16

(x+4)(x-4)

300

x²-125

(x+25)(x-25)

400

x⁴-16

(x+4)²(x-4)²

500

x⁶-225

(x+15)³(x-15)³

grouping

100

x²+x+x+1

(x+1)(x+1)

200

3x²+12x+x+4

(x+4)(3x+1)

300

   2x³+6x²-4x-12

2(x + 3)(x² - 2)

400

9x³+3x²+15x+5

(3x+1)(3x²+5)

500

4x³-10x²+6x-15

(2x-5)(2x³+3)