Question

4.The sum and product of the zeroes of a quadratic polynomial are - ½ and -3 repectively. What

is the quadratic polynomial?​

Answer 1

Answer:

$\blue{\bold {2 {x}^{2} + x - 6}}$

Step by step solution:

Given = sum of its zeroes = -1/2

product of its zeroes = -3

We know that,

${x}^{2} - ( \alpha + \beta ) x+ ( \alpha \times \beta ) \: is \: the \: formula \: for \: quadratic \: equation$

${x}^{2} - ( - \frac{1}{2} ) x + ( - 3)$

${x}^{2} + \frac{1}{2} x - 3$

$2 {x}^{2} + x - 6$

Hence, 2 {x}^{2} + x - 6 is the required quadratic equation.