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Formation of a Quadratic Equation From It's Roots

If the zeros ...

Question

If the zeros of the polynomial f(x) = 2x³ − 15x² + 37x − 30 are in A.P., find them.

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Solution

Let and be the zeros of the polynomial

Therefore

Sum of the zeros =

Product of the zeros =

Substituting we get

Therefore, substituting and in ,and

Hence, the zeros of the polynomial are .

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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