Question

construct a polynomial whose zeros are1/2 and -3

Answer 1

So(x-1/2)(x+3)=0 is the polynomial with zeroes 1/2&-3 .=> x^2+3x-x/2-3/2=0 multiply by 2=> 2x^2+6x-x-3 =0=> 2x^2+5x-3=0 is the required polynomial.