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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Factorise $: x^2+\frac{a^2+1}{a} x+1$
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Answer

$ x^2+\frac{a^2+1}{a} x+1=0$
$ \therefore x^2+a x+\frac{1}{a} x+1=0$
$ \therefore x(x+a)+\frac{1}{a}(x+a)=0$
$ \therefore(x+a)\left(x+\frac{1}{a}\right)$
$=0$

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