factoring by grouping
3a3 + 12a2 + a + 4
(a + 4)(3a2 + 1)
2x^3-14x^2+24x
2x(x - 4)(x - 3)
U^2-5u-14=0
u=-2 u=7
(x-2)(x-3)=0
x=2 x=-3
4x=1
x=1/4
2x3 + 6x2 - 4x - 12
(x+3)(2x^3)
ax2 - 3ax - 54a
a(x + 6)(x - 9)
x^2+15x+50=0
x=-5 x=-10
2x(x-7)=0
x=0 x=7
x+6=-7
x=-13
3x2 + xy2 - 3xy - y3
(x-x)(x^2+y^3)
6x2 + 11x - 10
(3x - 2)(2x + 5)
y^2=11y-28
y=4 y=7
(x+9)^2=0
x=-9
x-4=7
x=11
3n3 + 2n2 - 3n - 2
(n^2+1)(n+2)
y4 + y2 - 12
(y2 - 3)(y2 + 4)
19x=7-6x^2
x=1/3 x=-7/2
(2x+1)(3x-2)(x-1)=0
x=-1/2 x=2/3
x/3=-9
x=-27
x5 - 3x3 - 5x2 + 15
(x-3)(x^2+1)
-8x3 - 18x2 - 4x
-2x(x + 2)(4x + 1)
x^2-16x+61=2x-20
x=9
(x-8)^2=0
x=8
2x+4=8
x=2