What is a function that has zeroes at #x=-2# and #x=5#?

1 Answer
Jul 15, 2017

#(x+2)(x-5)#

Explanation:

An example is #(x+2)(x-5)# although there are many more I believe.

Since you have 2 zeroes, it means that it cannot be a function of degree #1# or below.

The easiest way to find a function is by applying the rule that #a(x-p)(x-q)=0# where #p# and #q# are the zeroes of the function.

#therefore (x-(-2))(x-(5)#
#=(x+2)(x-5)#