Question

If f(x) be a polynomial such that f (-1/3) =0 then find one of its factors

Answer 1

If f(x) is a polynomial such that f (-1/3) =0
So, f(x) = polynomial with variable x
If f(-1/3) = 0 (it's the value of the polynomial at that point)
So, one factor of f(x) will be (x + 1/3)
Because, if the zero of the polynomial is a negative number, the factor will be a positive number.

Hope it helps

Answer 2

If f(-1/3) =0

then, x=-1/3=0

So, x+1/3=0 or 3x+1=0

then one factor of f(x) is (3x+1)

Hope it helps