.Hey guys..I'm having trouble factoring some functions...I can pretty easily factor and find the solutions for linear and quadratic functions, but when it comes to cubic and..um..higher-powered functions, I'm pretty lost...
The first problem is:
x^3 + 216 = 0
I know to start I should set 216 to its cubic form,
x^3 + 6^3 = 0, but I have no idea what to do after that... make use of the sum of cubes formula!
And for the next problem I have
x^4 - x^3 + x - 1 = 0
I worked it out like this:
x^3(x - 1) + 1 (x - 1 )= 0
(x^3+1) (x-1) = 0
so I solve for x
x^3 + 1 = 0
(no solution) and What's (-1)^3?!
x-1 = 0
x=1....but the answer says its x = + or - 1...So I definitely did something wrong...
So if anyone could help me I'd greatly appreciate it