Question

if alpha and beta are the zeros of x square - 15 X + 2 find the quadratic polynomial whose zeros are 1 by 2 alpha and 1 by 2 Beta​

Answer 1

Answer:

2X^2 - 15x + 2

Step-by-step explanation:

x^2 - 15x + 2 = 0

let alpha = a & beta = b

sum of zeroes (a + b) = - (-15)/1 = 15

product of zeroes ab = 2/1 = 2

a/2 + b/2 = 15/ 2 & 1/2 * ab = 2/2 = 1

required polynomial

= X^2 - (a/2+b/2)X + (1/2 *ab) = 0

= X^2 - 15/2 * X + 1 = 0

2X^2 - 15X + 2 = 0