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Question

The three zeroes of the polynomial 2x3 + 5x2 - 28x - 15 _____


A

Are all Integers

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B

Are all rational numbers

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C

Are all Natural numbers

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D

All three are not real numbers

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Solution

The correct option is B

Are all rational numbers


One zero of this polynomial , by the method of Hit and Trial is 3 .Now, by long division of 2x3 + 5x2 - 28x - 15 by (x -3 ) , we have 2x2 + 11x + 5 factors of which are ( 2x + 1 ) and (x + 5 ).

Therefore, the three zeros of the polynomial 2x3 + 5x2 - 28x - 15 are all rational numbers


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