Question

Form a cubic polynomial whose sum ,product of the zeroes taken
two at a time and product of zeroes respectively are
(a)3,-3,5​

Answer 1

Step-by-step explanation:

Given Form a cubic polynomial whose sum ,product of the zeroes taken two at a time and product of zeroes respectively are(a)3,-3,5  

• We need to form a cubic equation given sum and product of zeroes respectively taken two at a time.
• Let α, β and ˠ be the roots of the cubic polynomial.  
• Given (α + β + ˠ) = 3
• Also (αβ + βˠ + ˠα) = - 3
• Also (αβˠ) = 5
• Now cubic polynomial with roots  
• α, β and ˠ will be x^3 – (α + β + ˠ) x^2 + (αβ + βˠ + ˠα) x - (αβˠ)
•                          = x^3 – 3x^2 + (- 3) x – 5
•                         = x^3 – 3x^2 – 3x - 5
• Sum of product of roots taken two at a time = - 3
• Product of roots = 5
• Now the equation will be x^3 – 3x^2 – 3x - 5  

Reference link will be

https://brainly.in/question/3277258