Question

13.If a and ß are zeroes of quadratic polynomial f(x) = x2 -2x + 3, find a
polynomial whose roots are(i) (ii) a +2, ß + 2​

Answer 1

Answer:

formula for a quadratic polynomial is

x^2 - (sum of zeros)x + product of zeros= 0

or, x^2 -(a+2+b+2)x +(a+2) (b+2) = 0

or, x^2 -(a+b+4)x + (ab+2a+2b+4) = 0