Polynomials

Factoring Fun

100

x²+5x+6

(x+2)(x+3)

200

x²-9

(x-3)(x+3)

300

4x²-25

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

400

x³-8

(x-2)(x²+2x+4)

500

x⁴-16

(x²-4)(x²+4)

Operations Olympics

100

(3x²+4x+2)+(2x²-x+5)

5x²+3x+7

200

(4x²+7x-1)-(2x²-3x+4)

2x²+10x-5

300

(2x+3)(x²-5x+2)

2x²-7x²-11x+6

400

Divide 4x³-2x²+7 by x+2

4x²-10x+20-(33/x+2)

500

Divide 2x³+4x²-5 by x-3

2x²+10x+31+(85/x-3)

Zero Zone

100

x²-4

x=-2,2

200

x³+6x²+9x

x=0,-3

300

2x⁴-8x³-16x²

x=-1.5,0,5.5

400

(x-1)(x+2)(x-3)

x=1,-2,3

500

x³-5x²+4x

x=0,1,4

Infinity Insights

100

f(x)=2x³-5x²+4x+1

x->-8,f(x)->-8 and x->8,f(x)->8

200

g(x)=-4x⁴+3x²-2

x->-8,g(x)->-8 and x->8,g(x)->-8

300

h(x)=x⁵-2x²+5x+3

x->-8,h(x)->-8 and x->8,h(x)->8

400

p(x)=3x⁶-2x⁴+7x²+1

x->-8,p(x)->8 and x->8, p(x)->8

500

-2x⁵+4x³-5x²+3

x->-8,f(x)->8 and x->8,f(x)->-8

Root Riddles

100

x²+4

2 Imaginary

200

x³-2x²+3x-5

1 real and 2 imaginary

300

2x⁴+7x²-3

2 real and 2 imaginary

400

x⁵-4x³+2x²+1

3 real and 2 imaginary

500

3x⁶-6x⁴+2x²-5

2 real and 4 imaginary