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Prove that x^2 + 2x +2 cannot be written as the product of first degree polynomials

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Prove that x2 + 2x +2 cannot be written as the product of first degree polynomials

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b2 – 4ac = 22 – 4 x 1 x 2 = –4 < 0

\(\therefore\) x2 + 2x + 1 cannot be written as the product of first degree polynomials.

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