How do you find the zeroes of #f (x) =5x^4 − 2x^2 − 3#?
1 Answer
This function is an example of a bi-quadratic function, which is the polynomial function of the
The general polynomial of the
Since no odd degree terms are present, general expression for a bi-quadratic function is:
Finding the values of an unknown
Step 1. Substitute
Step 2. The above equation is a regular quadratic equation that we know how to solve. Its two solutions are:
(solutions might not be real if
Step 3. Knowing the value of an unknown
(depending on the coefficients, certain solutions might not be real)
I think it would be useful for a student who ask this question to do the math with concrete coefficients given in the problem.
As an illustration, here is a graph of the given function that shows where it takes zero values. It shows that this function has only two real values of
graph{5x^4-2x^2-3 [-3, 3, -4, 4]}