Question

Approximate the real number solution(s) to the polynomial function f(x) = x3 − 2x2 − 5x + 6.

Answer 1

Hello,

Number of solutions=3

x³-2x²-5x+6=x³-x²-x²+x-6x+6=x²(x-1)-x(x-1)-6(x-1)=(x-1)(x²-x-6)
=(x-1)(x²-3x+2x-6)=(x-1)(x(x-3)+2(x-3))
=(x-1)(x-3)(x+2)
Sol={1,3,-2}