Question

How do I find all the rational zeros of function?

Answer 1

To find the zeroes of a function, `f(x)`, set `f(x)` to zero and solve.
For polynomials, you will have to factor.

For example: Find the zeroes of the function `f(x) = x^2+12x+32`

First, because it's a polynomial, factor it
`f(x) = (x+8)(x+4)`

Then, set it equal to zero
`0 = (x+8)(x+4)`

Set each factor equal to zero and the answer is `x=-8` and `x=-4`.

*Note that if the quadratic cannot be factored using the two numbers that add to this and multiple to be this method, then use the quadratic formula `(-b +- sqrt(b^2-4ac))/(2a)`

to factor an equation in the form of `ax^2+bx+c`.