Factorise `a^2x^2+(ax^2+1)x+a` – InterviewSolution

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1.	Factorise `a^2x^2+(ax^2+1)x+a`
Answer» `a2x^2+(ax^2+1)x+a` `=a^2x^2+ax^3+x+a` `=ax^3+a^2x^2+x+a` `=ax^2(x+a)+1(x+a)` `=(ax^2+1)(x+a)`, which are the required factors.

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