Question

Find the quadratic polynomial whose zeros is -1 by root 3 plus one by root 3

Answer 1

Hi mate

Here is ur answer

Two zeroes = 1/ root 3 and -1/root 3

Let alpha = 1/root3 and beta = -1/root3

(alpha +beta) =1/root3 + - 1/root3

= 0

(alpha*beta) = 1/root 3 * - 1/root 3

= - 1/3

= K (x2-(alpha + beta) x + (alpha*beta)

= ( x square - 0 x + - 1/3)

= x square - 1/3

Therefore, x square - 1 / 3 is the quadratic polynomial