Question

a²x²+(ax²+1)x+a :Factorise​

Answer 1

-: SOLUTION :-

The given Polynomial is a²x² +(ax² +1)x + a = 0

On factorising ____

=) a²x² + ax³ + x + a =0

=) ax²(a +x) +1(x+a)

Now Taking Common from both

=) (x + a)(ax² + 1)= 0

=) x+a =0

=) x = -a

or

=) ax² + 1 = 0

=) ax² = -1

$= ) \: a {x}^{2} = - 1 \\ = ) {x}^{2} = \frac{ - 1}{a} \\ = )x = \sqrt{ \frac{ - 1}{a} }$