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Factor Theorem

Find the valu...

Question

Find the value of k for which the polynomial x3-4x2+k has 3as it's zero

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Solution

Zero of the polynomial is x - 3
by long division
when we divide
x^3 - 3^2+ 3x + k with x- 3
the remainder we get is k+9
k+9 = 0
k=-9

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