Question

How do you use find the zeroes of `f(x)=(x+1)^2(x+7)`?

Answer 1

Zeros of `f(x)=(x+1)^2(x+7)` are `-1` and `-7`.

Explanation:

As the function is product of monomials, it is easier to find zeros of `f(x)`.

Zeros of a function, say of `x`, are those values of `x`, for which `f(x)` becomes zero.

As `f(x)` is a product of monomials. if any monomial becomes zero, the function becomes zero.

Hence zeros are given by `x+1=0` i.e. `x=-1` and

`x+7=0` i.e. `x=-7`

Hencem zeros of `f(x)=(x+1)^2(x+7)` are `-1` and `-7`.