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Obtain all the zeroes of 3x …

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Obtain all the zeroes of 3x to the power 4 + 6x cube - 2x square - 10x - 5, if two of its zeroes are root 5/3 and - root 5/3.

Posted by Amrita Chhotaraya 4 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Vinod Khandelwal 4 years, 3 months ago

the highest degree is 4 so the maximum numbers of zeroes are 4 root5/3 , -root5/3 (x+root5/3) (x-root5/3) x square -5/3 so we have x square -5/3 is a factor of 3x^4+6x cube - 2x square -10x - 5 by dividing them we get 3x square +6x +3 p(x)=g(x)*q(x)+r(x) (x square-5/3) (3x square +6x +3) by splitting the term 3x square +6x +3 we have 3x square +3x +3x +3 3x(x+1) 3(x+1) (3x+3)(x+1) x = - 1 3x = -3 x = -3/3 x = -1 all the zeroes are root5/3 -root5/3 -1 -1 i hope this will help u

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CBSE > Class 10 > Mathematics