Question

Rational square root theorem (x^3-3x^2-10x+24)

Answer 1

Explanation:

try testing out some values to find a root. trying some values gives x=2 as a solution.

next, use synthetic division

2 | 1 -3 -10 24

| 2 -2 -24

1 -1 -12 0

the quadratic is x^2-x-12

this is factored to (x+3)(x-4)

so, the cubic is (x-2)(x-4)(x+3) and the roots are x=2, -3, 4.