Question

9. Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time and product of its zeroes are 2, -9, 8 respectively. ​

Answer 1

Answer:

Since the sum of roots =2

Sum of product of roots taken two at a time −7

and product of roots =−14

The polynomial will be =x3−2x2−7x+14

Hence, the answer is x3−2x2−7x+14.