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Write \(a^4-3a^2+9\) as a product of two monic quadratics with integer coefficients.

 Mar 25, 2024
 #1
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The expression is just the square of a binomial, so you can write a^4 - 3a^2 + 9 = (a^2 - 3)(a^2 - 3).

 Mar 25, 2024
 #2
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Unfortunately, that is incorrect, if you expand your answer you would get a^4-6a^2+9, nice try though!! 

svphxxo  Mar 25, 2024
 #3
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\(= (a^2 - 3a + 3)(a^2 + 3a + 3)\)

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 Mar 25, 2024

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