So to find how many zeros there are, you need to look at what the highest power is. For example: 4x^5+7x^4-55x^3+2x^2-x+7. This equation will have 5 roots (zeros). I graphed that equation and it can be seen below (obviously).
(Screenshot Here)
Typically, the number of zeros will be the number of factors once you factorize the polynomial completely. An ancient proverb says that if you find the zeros, you'll know what to put in your factors.
On a slightly different note, division helps us factor polynomials because once you have divided the large polynomial, you're left with a smaller one to work with, which is easier to factor out.
(Screenshot Here)
Typically, the number of zeros will be the number of factors once you factorize the polynomial completely. An ancient proverb says that if you find the zeros, you'll know what to put in your factors.
On a slightly different note, division helps us factor polynomials because once you have divided the large polynomial, you're left with a smaller one to work with, which is easier to factor out.