Divide 2x^2 + 3x + 1 by (x-2) and verify the division algorithm.
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Divide 2x^2 + 3x + 1 by (x-2) and verify the division algorithm.
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Solution:
a = (q * b) + r
2x^2 + 3x + 1/ x - 2
Using long division
= 2x + 7 + (15/x - 2)
Therefore, 2x^2 + 3x + 1/ x - 2
= (2x + 7)(x - 2) + (15/x - 2)
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