A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is

Given,


One of the polynomial is 3,


Sum of the zeros = 0


Now


Let the other zero be x,


x + 3 = 0


x = – 3


So,


Zeros of the polynomial are 3 and – 3


Product of the zeros = 3 × – 3 = – 9


Polynomial with zeros 3 and – 3 = x2 – (0)x + ( – 9) = x2 – 9

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