How Do You Find All The Zeros Of A Function?
When you find all the zeros of a polynomial function, you get the values of x which make the function f(x) equal to zero. A zero can be a real or complex number. At times, finding all the zeros of functions that have a degree of 3 or higher can be a tedious task. You should establish a plan to break down these higher degree polynomial functions into workable factors. Discover the total number of roots of a function by using the corollary to the fundamental theorem of algebra which states that any polynomial of degree n has exactly n total roots or zeros for a function. This does not tell us if these zeros are all real numbers. Determine the maximum number of possible real roots by using Descartes’ rule of signs. For a function f(x), count the number of sign changes for the x terms. This is the maximum number but may not be the actual number of possible positive real roots or zeros. To find all possibilities decrease this number by multiples of 2 until the result is negative. You determ
