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Question

Factorize x3 + 2x2 – 4x + 1 using synthetic division method.

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Solution

Consider p(x) = x3+ 2x24x+1

By trial and error method we get x= 1 satisfies the equation.

Therefore (x – 1) is a factor of p(x)

p(x) = (x – 1)(x2+3x1)


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