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Find K, so that x^(2)+2x+K is a factor of 2x^(4)+x^(3)-14x^(2)+5x+6 . Also find all the zeros of the two polynomials. |
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Answer» We get `(7k+21)x+2k^(2)+8k+6` as remainder is zero. `=> 7k+21=0` and `2k^(2)+8k+6=0` `=> k=-3` and `k=-1` or `-3` `=>k=-3` Zeros of `x^(2)+2x-3` are `1`, `-3` and `2x^(4)+x^(3)-14x^(2)+5x+6` are `1`, `-3`, `2`, `-(1)/(2)` |
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