How do you find the zeros of the polynomial function with equation #f(x) = x^3 +7x^2 - 4x - 28#?
Using the Factor Theorem (hoping or integer factors) we find zeros at
According to the Factor Theorem if
they must be factors of
The possible factors are therefore
Testing these factors:
we find three zeros (as given in the "Answer" above.
Since the given expression is of degree 3 and we have 3 zeros, these 3 zeros represent all possible solutions.