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When the polynomial p(x)= x^(3)+2x^(2)+k...

When the polynomial `p(x)= x^(3)+2x^(2)+kx+3` is divided by `x-3`, the remainder is 21. Find the value of k and the quotient. Hence, find the zeroes of the polynomial `x^(3)+2x^(2)+kx-18`.

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The correct Answer is:
`k= -9, x^(2)+5x+6`, zeroes `3, -2, -3`
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