Polynomials

Solve and classify

100

(2x²+3+2x) + (2x²+1+3x)

4x²+4+5x

Quadratic Trinomial

200

(4x²+2-3x) - (2x²+1+2x)

2x²+1-5x

Quadratic Binomial

300

(5x³+8x-3) + (2x³-7x+13x)

7x³+14x-3

Cubic Trinomial

400

(16x+14) - (3x⁴+x-9)

-3x⁴+15x+23

Quartic trinomial

500

(X³+3x-6) + (-2x+x-2) - (3x-4)

x³-x-4

Cubic Trinomial 

Grid division

100

(27x³+9x-3x-10) divided by (3x-2)

9x^2+6x+6 remainder:2/3x-2

200

(3x³+x²-4x) divided by (x-1)

3x²+4x

300

(x³-5x+4x-2) divided by (x-2)

x^2+2x+3 remainder:4/x-2

400

(x³+7x²-36) divided by (x+3)

x²+4x-12

500

(x⁵+3x⁴+5x²-10x+1) divided by (x-1)

x⁴+4x³+4x²+9x-1

Synthetic division

100

(5x³+x²-7) divided by (x+1)

5x²-4x+4 remainder: -11/x+1

200

(2x³-3x²-5x-12) divided by (x-3)

2x²+3x+4

300

(5x³-6x²+3x+14) divided by (x+1)

5x²-11x+14

400

(3x³-2x²-150) divided by (x-4)

3x²+10x+40+ remainder:10/x-4

500

(2x³-5x²-x+3) divided by (x+3)

2x²-11x+32+ remainder: -93/x+3

Difference of squares

100

x²-9

(x+3)(x-3)

200

y²-16

(y-4)(y+4)

300

y²-25

(y+5)(y-5)

400

 9x²-49

(3x-7)(3x+7)

500

36x⁴-9

(6x²-3)(6x²+3)