Question

If alpha and beta are zeroes of polynomial x^+6x+9,then form a polynomial whose zeroes are -alpha and -beta

Answer 1

Product of roots=9 (alpha.beta) ......(1)
Sum of roots= -6(alpha+beta) ......(2)
Polynomial with roots -alpha and -beta=x^2-(-alpha-beta)x + {-alpha-beta}
= x^2 + (alpha +beta)x - {alpha.beta}
Using (1) &(2), x^2 -6x -9 is the polynomial.
Kindly mark brainliest.