Question

If α and β are zeroes of x^2
-3x-2, find a quadratic polynomial whose
zeroes are 1/2α+β and 1/2β+α
.

Answer 1

Answer:

first find the value of alpha and beta .

then find the value of 1/2 alpha +beta and 1/2 beta + alpha.

after finding these using the formula

x² - (sum of zeroes )x + (product of zeroes).