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Factor


25x^6 + 10x^3 + 12

User Keppla
by
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1 Answer

4 votes

Answer:

Explanation:

To factor 25x^6 + 10x^3 + 12, we can first factor out the greatest common factor of the three terms which is 1, then use a substitution:

Let's substitute y = x^3. Then, the expression becomes:

25y^2 + 10y + 12

We can now try to factor this quadratic expression. However, since the discriminant (b^2 - 4ac) of this quadratic equation is negative (10^2 - 4*25*12 = -440), this expression cannot be factored using real numbers.

Therefore, the final answer for the factoring is:

25x^6 + 10x^3 + 12 = (unfactorable)

User Gruszczy
by
7.4k points

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