Answer :

ANSWER

[tex](x^{2}+4)(x^{2}+8)[/tex]

EXPLANATION

We want to completely factor the given polynomial:

[tex]x^4+12x^2+32[/tex]

To do this, we have to find two terms whose product is 32 and whose sum is 12.

The two terms are:

[tex]x^4+8x^2+4x^2+32[/tex]

Now, factor completely:

[tex]\begin{gathered} x^2(x^2+8)+4(x^2+8) \\ (x^2+4)(x^2+8) \end{gathered}[/tex]

That is the answer.

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