InterviewSolution
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InterviewSolution
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13. Given that 2 is a zero of the cumbic polynomial 6x3+ /2r2-10x -4/2, find itsINCERT EXEMPLAR]other two zeroes. |
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Answer» √2 is zero of 6x³ +√2x² -10x -4√2 , So, (x - √2) is a factor of 6x³ + √2x² -10x -4√2 . 6x³ + √2x² -10x -4√2 = 6x³ -6√2x² + 7√2x² -14x + 4x - 4√2= 6x²(x - √2) + 7√2x(x -2) + 4(x -√2) = {6x² + 7√2x + 4}(x - √2)= {6x² + 3√2x + 4√2x + 4}(x -√2)= {3√2x(√2x + 1) + 4(√2x +1)}(x -√2)= (3√2x +4)(√2x +1)(x - √2) Hence, two other zeros are -4/3√2, and -1/√2 |
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