Question

From a quadratic polynomial, the sum and product of whose zeros are - 3 and 2 respectively. ​

Answer 1

Given,

$\alpha + \beta = - 3. \\ \ \ \alpha \times \beta = 2.$

therefore, required polynomial be:-

${x }^{2} - ( \alpha + \beta )x + \alpha \beta$

${x}^{2} - ( - 3)x + 2$

${x}^{2} + 3x + 2.$