Naming
3x+2
Linear binomial
2x2+8x+2x
2x2+10x
-4(x+1)
-4x-4
x2+8x+7
(x+7)(x+1)
-4x-2
-2(2x+1)
4x2+3x
Quadtractic Binomial
(7x3+3)+(-2x3+6)
5x3+9
6x2(x+4)
6x3+24x2
y2+2y-24
(y+6)(y-4)
15x2+3x+9
3(5x2+x+3)
7x2+3x+2
Quadratic trinomial
(6x3+2x)-(4x3+x)
2x3+x
-3y3(y3+2y2-y)
4x2-4x+1
(2x-1)2
12x6+2x4+4x
2x(6x5+x3+2)
-5x2-6x-1
Quadratic trinomial
(4x4+x2-2x)+(3x5+6x2-x)
3x5+4x4+7x2-3x
(x+2)(x+5)
x2+7x+10
4m2-25
(2m+5)(2m-5)
2x2y+10xy3+4xy
2xy(x+5y2+2)
x4+6x2-2x+8
4th degree polynomial
(x2-3x-1)-(4x2+4x-2)
-3x2-7x+1
(2x-1)2
4x2-4x+1
6n2+5n-6
(2n+3)(3n-2)
-24x4y3-12x3y2+3x2y
3x2y(-8x2y2-4xy+1)