Question

Find the quadratic polynomial the sum of whose roots are -4/5 and 1/3

Answer 1

here, let alpha(α) = -4/5
and beta(β) = 1/3
as, α + β = -b/a = -4/5 * 3/3
we multiplied by 3 because we need the same denominator.
α + β = -12/15
so, a = 15
and b = -12
as, αβ = c/a = 1/3 * 5/5
c/a = 5/15
so, c= 5
a = 15
. .
so, polynomial = 15x square - 12x + 5

Answer 2

x^2+4/5x+7/5

[since , quadratic polynomial

x^2+ (sum of roots)x+(product of roots)