Alpha and beta are zeroes of 4x square-5x+1 find the polynomial whose zeroes are alpha square/beta and beta square/alpha
Answers
Answered by
6
Step-by-step explanation:
Given that α and β are roots of
so now we will expand the above polynomial and calculate alpha and beta.
Now,
its zeros are 1 and 1/4
so
α=1 and
β=1/4
Now,
now we have to find the polynomial whose zeros are
Now
Product of roots of new polynomial = αβ = 1/4
Sum of roots of new polynomial =
we can write the new polynomial in the form of product and sum of roots as
Similar questions