Given that P(x)=x(x^2-13) +12,express P(x)as a product of linear factors.

P(x) = x³ - 13x + 12

Cubics are tough to solve, so assume there's some low-hanging fruit, root-wise.

P(1) = 0
P(x) = (x-1)(x² + x - 12)

I think you can make it from here, eh?