Use the Rational Zero Theorem to find all rational zeros the

Use the Rational Zero Theorem to find all rational zeros, then find all the complex zeros of the polynomial.

P(x) = 5x⁴-17x³+21x²+29x-14

Solution

Leading coefficient is 5 whose factors are 1,5 And constant is -14 whise factors are 1,2,7

Therefore possible zeroes are +-(1,2,7)/(1,5)

1,2,7,1/5,2/5,7/5,-1,-2,-7,-1/5,-2/5,-7/5