Find all real solutions of the polynomial equation Enter you

Find all real solutions of the polynomial equation. (Enter your answers as a comma-separated list.) 2y^4 + y^3 - 33y^2 + 56y - 20 = 0 Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 4, 3i, -3i f(x) =

Solution

2y⁴+y³-33y²+56y-20=0

(y-2)²(2y²+9y-5)=0

(y-2)²(y+5)(2y-1)=0

y-2=0 , y+5=0 ,2y-1=0

y=2 , y=-5 , y=1/2