Answer:
Step-by-step explanation:
Let α be one of the zeros of the polynomial.
Other = 4α
α + 4α = - Coefficient of x / Coefficient of x² = -5/3
5α = -5/3
α = -5/3*5
α = -1/3
α * 4α = Constant term/Coefficient of x²
4α² = k / 3
[tex]4*(\frac{-1}{3})^{2}=\frac{k}{3}\\\\4*\frac{1}{9}=\frac{k}{3}\\\\4*\frac{1}{9}*3=k\\\\4*\frac{1}{3}=k\\\\k=\frac{4}{3}[/tex]
