Question

Find a cubic polynomial with the sum,sum of product of its zeroes taken two at a time ,and the product of its zeros as 2,-7,-14 respectively ​

Answer 1

Answer:x³ + 2x² +7x -14 = 0

Step-by-step explanation:

Let three roots are a,b and c respectively.

Given,

a+b+c=2

ab+bc+ac = -7

abc = -14

We know that equation of cubic is

x³ + (a+b+c) x² - (ab+bc+ac)x +abc = 0

Put the values.