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Find k so that x^(2) +2x + k is a facto...

Find k so that `x^(2) +2x + k ` is a factor of `2x^(4) + x^(3) - 14 x^(2) + 5x + 6` . Also find all the zeros of the two polynomials.

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The correct Answer is:
`:.` Zeros of f(x) are 2, ` - (1)/(2) , 1, -3`
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