Question

. If α and β are the zeroes of a polynomial x2
-x-30, then form a quadratic Polynomial whose zeroes are 2-
α and 2- β

Answer 1

Answer:

x^2-3x-28

Step-by-step explanation:

if a and b are the zeroes of the polynomial then

a+b =1 & ab=-30

the zeroes are 2-a and 2- b

therefore --- sum of zeroes --- 2-a+2-b

=4-a-b

=4-(a+b)

=4-1

=3

product of zeroes= ab

= (2-a)(2-b)

=4-2(a+b)+ab

=4-2-30

=-28

the required quadratic polynomial is [x^2-(a+b)+ab]

putting values of a+b and ab

=x^2-3x-28

hope it helps