What are the possible rational zeroes

Question

F(x) = 5x³ + 18x² + 29x - 15

Answer 1

By the Rational Zero Theorem, if p/q is a rational zero of the given polynomial, then p is a divisor of the constant term, -15, and q is a divisor of the leading coefficient, 5.

 

So, the possible values of p are:  ±(1, 3, 5, 15) and the possible values of q are:  ±(1, 5).  Therefore the possible rational zeroes are:

 

±(1, 1/5, 3, 3/5, 5, 15).