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Find the trinomial.
(a^2- 6) and (a^2+ 4) are the factors of

a^4 + 2a^2 + 24
a^4 - 2a^2 - 24
a^4 + 2a^2 - 24
a^4 - 2a^2 +24

Answer :

MrRoyal

Answer:

[tex]a^4 -2a^2 -24[/tex]

Step-by-step explanation:

Given

[tex](a^2- 6) \ and\ (a^2+ 4)[/tex]

Required

Find the trinomial

Let T represents the trinomial;

To calculate the trinomial, we simply multiply the above factors;

This done as follows;

[tex]T = (a^2 - 6)(a^2 +4)[/tex]

Expand

[tex]T = a^2(a^2 +4) -6(a^2 +4)[/tex]

Open bracket

[tex]T = a^2*a^2 +a^2*4 -6*a^2 -6 * 4[/tex]

[tex]T = a^4 +4a^2 -6a^2 -24[/tex]

[tex]T = a^4 -2a^2 -24[/tex]

The above can not be solved any further; hence, the trinomial is [tex]a^4 -2a^2 -24[/tex]

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