find all the roots of the polynomial f(x)=x^2-2x-24

Question

find all the roots of the polynomial function.

Answer 1

f(x) = x^2-2x-24

= x^2-6x+4x-24

= x(x-6)+4(x-6)

Take common out x-6 from above polynomial.

x^2-2x-24 = (x-6)(x+4)

Roots are x = 6 and x = -4.