find all the zero's

Question

x³-7x²-2x+60

Answer 1

Since the coefficient is a prime number, we need to use synthetic division to find a linear and quadratic factor.

 

5 | 1       -7          -2          60

 

               5         -10         -60

_____________________________

     1       -2         -12           0

 

 

The polynomial factors out to be

 

(x - 5)(x² - 2x - 12) = 0

 

One zero is   x=5

 

 

Find the other two zeros using the quadratic formula.