Question

x2-(a-1/a)x+1 factorise the following

Answer 1

Answer:

The factors are $(x-a)(x-\frac{1}{a})$

Step-by-step explanation:

Factorize the following

$x^2-(a+\frac{1}{a})x+1$

I have applied middle term factorization method to factorize the given polynomial

Given:

$\bf\:x^2-(a+\frac{1}{a})x+1$

$x^2-(a+\frac{1}{a})x+1$

$=x^2-ax-\frac{1}{a}x+1$

$=x(x-a)-\frac{1}{a}(x-a)$

$=(x-\frac{1}{a})(x-a)$

$\implies\bf\:x^2-(a+\frac{1}{a})x+1=(x-\frac{1}{a})(x-a)$

Answer 2

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