Question

Solve the equation x^3+2x^2-5x-6=0 given that 2 is a zero of f(x) = x^3+2x^2-5x-6

Answer 1

Given

`x^3+2x^2-5x-6=0`

2 is the zero of the polynomial

Answer

If 2 is zero of polynomial then x-2 is a factor dividing the polynomial by x-2

`\begin{gathered} x^3+2x^2-5x-6=(x-1)(x^2+4x+3) \\ (x-2)(x+1)(x+3) \end{gathered}`

Zeros are = {2,-1,-3}