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# Factorize each of the following polynomials.

x^{3} + x^{2} + x – 14

Answer :

Given,

x^{3} + x^{2} + x – 14,

put x = 2

then, 8 + 4 + 2 – 14 = 0

since, this equation is divisible by (x – 2).

according to the question,

x^{3} + x^{2} + x – 14 = (x – 2)(x^{2} + 3x + 7).

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