if α and β are the zeroes of the polynomial x^2-4x+3 then find the quadratic polynomial whose roots are 3α and 3β.
Pls answer it's urgent.....
Best answer will be marked as brainliest....
Share
if α and β are the zeroes of the polynomial x^2-4x+3 then find the quadratic polynomial whose roots are 3α and 3β.
Pls answer it's urgent.....
Best answer will be marked as brainliest....
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
For steps see the above attached pic.
=x^2-3x-x+3
=x(x-3)-1(x-3)
=(x-3)(x-1)
so x = 3 and x =1
so,alpha = 3 and beta = 1
so,roots of the required polynomial are 9 and 3
now, let the polynomial be ax^2 + bx + c
so, alpha + beta = -b/a
9+3 = -b/a
12 = -b/a
and, alpha × beta = c/a
9×3 = c/a
27 = c/a
so, a = 1 ,b = -12 and c =27
so,the polynomial is x^2-12x+27