Question

How do you factor `2x^4-8x^3-11x^2-4x-6`?

Answer 1

We have that

#2x^4-8x^3-11x^2-4x-6=2x^4-8x^3-(12-1)x^2-4x-6= 2x^4-8x^3-12x^2+x^2-4x-6=2x^2(x^2-4x-6)+(x^2-4x-6)= (x^2-4x-6)*(2x^2+1)=(x+sqrt10-2)*(x-sqrt10-2)*(2x^2+1)#

Footnote

We write `11=12-1`