Question

find a polynomial whose sum of zeros is -3 and product of zeros is 2​

Answer 1

Let the zeros be x,y

then,x+y=-3

xy=2

By The equation,x=-2,y=-1 or x=-1,y=-2

so,Then (x+2)(x-1) is the factor of p(x)

Solving it we get is x^2+x-2 is the polynomial p(x).

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