solve the following problem?

Question

find a polynomial each with the given numbers as the sum and product of the zeroes respectively. also find the zeroes of these polynomials by factorization.

(i) 2/3, -1/3

(ii)21/8, 5/16

Answer 1

1) General form: Y= X^2-2/3*X-1/3

positive discriminant = 16/9; two real roots: x=-1/3 and 1

factors: ( x -1)( x +1/3)

2) General form: Y= X^2-21/8*X+5/16

positive discriminant = 361/64; two real roots: x=1/8 and 5/2

factors: ( x -5/2)( x -1/8)