Problema Solution

write a polynomial with zeros of 3 and -4/5

Answer provided by our tutors

One such polynomial is:

5*(x - 3)*(x - (-4/5)) = (x - 3)(5x + 4) = 5x^2 + 4x - 15x - 12 = 5x^2 - 11x - 12

The polynomial is 5x^2 - 11x - 12 = 0.

Indeed, if we solve we will get the roots x1 = 3, x2=-4/5 ( click here to see the solution of 5x^2 - 11x - 12 =0 )