Question

If α and β are the zeros of the quadratic polynomial p(s) = 3s² − 6s + 4, find the value of $\frac{\mathrm{\alpha }}{\mathrm{\beta }}+\frac{\mathrm{\beta }}{\mathrm{a}}+2\left(\frac{1}{\mathrm{\alpha }}+\frac{1}{\mathrm{\beta }}\right)+3\mathrm{\alpha \beta }$.

Answer 1

Since α and β are the zeros of the quadratic polynomial

We have,

By substituting and we get ,

Hence, the value of is