Question

Product of all the zeros of the cubic polynomial 3 x cube minus 5 x square + 8 x - 12 is

Answer 1

Product of all the zeroes of the cubic polynomial=12

Step-by-step explanation:

Given cubic polynomial

$p(x)=3x^3-5x^2+8x-12$

It compare with

$x^3-(\alpha+\beta+\gamma)x^2+(\alpha\beta+\beta\gamma+\gamma\alpha)x-\alpha\beta\gamma$

Where $\alpha,\beta$ and$\gamma$ are zeroes of cubic polynomial.

We get

Product of zeroes=12

Hence, product of all the zeroes of the cubic polynomial=12

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