Factoring x^3 + 6x = 6x^2 + 8?
hello. i can't seem to figure out how to factor this equation without a calculator . help would be greatly appreciated
x^3 + 6x = 6x^2 + 8
that's because it's not factorable ... you'll need to use technology or
The "Cubic Formula" to solve it.
Bring all the terms on one side,
$\displaystyle x^3-6x^2+6x+8=0$
If we substitute x=4 in this equation, its value =0.
so, (x-4) is one factor. Now divide the expression by (x-4)
we got $\displaystyle x^2-2x-2$
So, the expression is $\displaystyle (x-4)(x^2-2x-2)=0$