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Question

Factorize each of the following expression:
a2x2 + (ax2 + 1)x + a

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Solution

a2x2+(ax2+1)x+a=a2x2+ax3+x+a =(ax3+a2x2)+(x+a) [Regrouping the expressions] =ax2(x+a)+(x+a) =(ax2+1)(x+a) [Taking (x+a) as the common factor]

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