For this section we are asking, how many possible rational zeros are there?
So we are going to say that p - the constant term- # without the x
q - the number in front of the variable with the highest exponent (leading coefficient)
So we are going to say that p - the constant term- # without the x
q - the number in front of the variable with the highest exponent (leading coefficient)
![Picture](/uploads/2/3/5/1/23513566/9450772.jpg?552)
For example: In this problem p is 4 because it is the number without x, so now we need to find the factors of 4, which are, -1, +1, -2, +2, -4, +4. we also can see that our q is going to be 1 because there is an invisible 1 in front of the x and 3 is the highest exponent. since q is 1 we need to find the factors of 1 which is only -1, +1. Finally we must write it as shown and then we are done.
*odd arrows are always opposite
* lim x-----> - infinity (left)
*lim x ------> + infinity (right)
Descartes rule of signs- # of zeros is equal
* lim x-----> - infinity (left)
*lim x ------> + infinity (right)
Descartes rule of signs- # of zeros is equal