Question

What are the zeros of the function h(x) = x³ – x + 6?

Answer 1

thers no standard way to solve cubic equations but as 2^3 = 8 what do you think one zero will be?

Answer 2

oh sorry i should have said (-2)^3 = -8

try replacing x by -2 in the equation and see what you get

Answer 3

(-2)^2 - (-2) + 6
- what does that work out to?

Answer 4

if that works out to 0 if you have found one zero (-2)

Answer 5

Factor the cubic getting (x+2)(x^2 - 2x + 3) set to 0
now each factor can be solved, note that one zero is as welshfella said, -2
you need to solve the quadratic factor x^2 -2x + 3 = 0. This will solve the other 2 complex zeros