Question

Approximate the real number solutions to the polynomial function f(x) = x3 - 2x2 - 16x + 32 .

Answer 1

f(x)=x^3-2x^2-16x+32
=x^2(x-2)-16(x-2)
=(x-2)(x^2-16)
=(x-2){(X)^2-(4)^2}
=(x-2)(x-4)(x+4)
f(x)=0 gives either x-2=0,x=2
or x-4=0,x=4
or x+4=0,x=-4
solution is x=2,4,-4