Question

Find the zero of the polynomial in the following:

h(x) = ax + b, a ≠ 0, a, b ∈ R

Answer 1

h(x) = ax + b, a ≠ 0, a, b ∈ R

= `"a"(x + "b"/"a")`

`"h"(- "b"/"a") = "a"(-"b"/"a") + "b"`

Hence `-"b"/"a"` is the zero of h(x).