Question

if the zeros of the polynomial x cube minus 3 X square + X + 1 hour a minus b a a + b find a and b

Answer 1

sum of zeroes - -b/a =-3/1
product of zero =c/a = 1/1
sum of zeroes a+b +a-b =2a
product = a square - b square
2 a = -3/1
2a = -3
a = -3/2