Question

How to find all the zeros of the function?

Answer 1

Hint:A function have zero if it have the multiple of two and five or multiple of both the numbers, to find the number of zeroes for a given function you have to check for its factors, the total multiple factors whose multiple can give zero at unit place or in between then those number of factors are our required factors responsible for zero in a function.

Complete step by step answer:
The given question needs to find the zeros associated with the given function:
For that first we have to factorize the given function to obtain all the possible factors for that function, let’s assume a function say “x” which can be any number: Let’s now assume its factors, say we get that the given function have factors like:
\[factors\,of\,x: \\
\Rightarrow x = 1,2,2,5,5,5, \\ \]
Here the factors are assumed by us for any variable say “x”, now we can see that in the assumed factors we have two times two and 3 times five, we know that product of the pairs of two and five will give us one zero for the given function, so for our assumption we can say that the given function can have maximum two number of zeroes.

Note: If the given question have a expression or any proved equation, then we have to check for the range of the function, or if possible then we can plot a graph and see that how many times the plot is cutting the x- axis, because it will give the zero value of for the function.