1. Stating the problem: We are given a polynomial with zeroes $\alpha$ and $\beta$. We need to find the relationship or values involving these zeroes. 2. Important formulas: For a quadratic polynomial $ax^2 + bx + c = 0$, the sum and product of the roots $\alpha$ and $\beta$ are given by: $$\alpha + \beta = -\frac{b}{a}$$ $$\alpha \beta = \frac{c}{a}$$ 3. Explanation: These formulas come from comparing the polynomial to its factorized form $a(x-\alpha)(x-\beta)$. 4. Intermediate work: If you provide the polynomial, we can substitute $a$, $b$, and $c$ to find $\alpha + \beta$ and $\alpha \beta$. Since the polynomial is not fully given, please provide the complete polynomial to proceed with calculations.