Question

find a cubic polynomial with the sum sum of products of its zeroes taken two at a time and product of its zeroes as 2 -7 and 14

give ans asap with proper explanation​

Answer 1

Answer:

Step-by-step explanation:

Let a,B,Y be the zeries of the required polynomial,

Given, a + B + Y = 2

. aB + BY + Ya = -7 and ,

. aBY = -14

Therefore , the required polynomial is

P(x) = X Cube - ( a + B + Y)x square + ( aB + BY + Ya)x - aBY

. = x cube - 2x square + (-7)x - (-14)

. = x cube- 2x square - 7x + 14 ( ans).