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Write a^4 - 5a^2 + 6 as a product of two monic quadratics with integer coefficients.

 Mar 22, 2021
 #1
avatar+544 
0

let x = a2

a4 - 5a2 + 6

= x2 - 5x + 6

= (x - 6)(x + 1)

= (a2 - 6)(a2 - 1)

 

I think that's what the question is asking..

 Mar 22, 2021
 #2
avatar+121003 
+2

I think we actually need

 

(a^2  - 2)  ( a^2  - 3)

 

 

cool cool cool

 Mar 22, 2021

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