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Question
Factorize each of the following expression:
a2x2 + (ax2 + 1)x + a
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Solution
\[a^2 x^2 + (a x^2 + 1)x + a = a^2 x^2 + a x^3 + x + a\]
\[ = (a x^3 + a^2 x^2 ) + (x + a)\] [Regrouping the expressions]
\[ = a x^2 (x + a) + (x + a)\]
\[ = (a x^2 + 1)(x + a)\] [Taking (x + a) as the common factor]
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