x^3-3x^2+4x+k is exactly divided by (x-2) find k
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x^3-3x^2+4x+k is exactly divided by (x-2) find k = 4
x³-3x²+4x+k
8-12+8+k=0
-4+8=k
k=4
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Answer:
If it is exactly divisible by (x-2), then x = 2 is one of its zeroes.
Therefore, 2³-3(2)²+4(2)+k = 0
8 - 12 + 8 + k = 0
4 + k = 0
k = -4
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