Question 263772
.
Hi,
I have a quadratic factorization question that I don't know how to do...
It's a Year 11 Maths question:
4x^4-37x^2+9
I have to factorize that and I would show you what I've done so far but I have no idea how to do this question...
Thank you so much for your help
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~



Factorize your polynomial step by step


4x^2 - 37x^2 + 9 = 

= 4x^4 - 36^2*x^2  - x^2 + 9
= 4x^2(x^2-9) - (x^2-9)
= (4x^2-1)*(x^2-9)
= (2x+1)(2x-1)(x+3)(x-3)


The difference between my solution and the @mananth solution is that 
@mananth makes his transformations on an equation  (which is not needed),
while I make transformations over the polynomial, exactly as it is requested.