Factors and zeros are inversely related. For example if a polynominal has a factor of (x-3), then a zero of that polynominal would be x=3. Long division can help us find more zeros when graphing can't. The degree of the polynominal can help us predict the number of zeros. If a polynominal's highest degree is x^5 then it would have five solutions. However, that doesn't mean it would have 5 factors because the solutions could be imaginary or irrational. A solution is imaginary when you have to take the square root of a negative number.