Question

Q. find cubic polynomial with sum of its zeroes, sum of the products of its zeroes taken two at a time and product
of its zeroes being given as 4,1&-6 respectively.​

Answer 1

Step-by-step explanation:

Let α, β and ɣ be the roots of the cubic polynomial Given (α + β + ɣ) = 2 (αβ+ βɣ + ɣα) = – 7 and (αβɣ) = –14 The cubic polynomial with roots α, β and ɣ is x3 – (α + β + ɣ)x2 + (αβ+ βɣ + ɣα)x – (αβɣ) = 0 ⇒ x3 – (2)x2 + ( – 7 )x – ( – 14) = 0 ⇒ x3 – 2x2 – 7x + 14 = 0