Question

Given that two of the zeroes of the cubic polynomialare 0, the third zero i

Answer 1

Polynomials

Formula.

• If a, b, c be the zeroes of a cubic polynomial, then the polynomial is given by

• f(x) = (x - a) (x - b) (x - c)

Solution.

• Given, two zeroes are 0, 0.

• Let a = b = 0.

• Let the other zero is c.

• Then the polynomial is given by

• f(x) = (x - 0) (x - 0) (x - c)

• = x^2 (x - c)

• It shows that the other zero can be any c which belongs to the set of Real Numbers or Complex Numbers.

• The exact value of c has to be determined by other given conditions.

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