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5x^{4}+2+7x^{4}
Add 1 and 1 to get 2.
12x^{4}+2
Combine 5x^{4} and 7x^{4} to get 12x^{4}.
12x^{4}+2
Multiply and combine like terms.
2\left(6x^{4}+1\right)
Factor out 2. Polynomial 6x^{4}+1 is not factored since it does not have any rational roots.