Degree 3; zeros 3,1,-1

Question

Find remaining zeros of f

Answer 1

Zeros mean that f(x) is zero.  Since we have a degree of 3, we must have at most 3 zeros.  So there no more zeros to find because we already have 3 zeros, and complex numbers can never be zeros.

 

 

0 = f(x) = (x - 3)(x - 1)(x + 1)

 

f(x) = (x - 3)(x² - 1)

 

 

f(x) = x³ - 3x² - x + 3