The factored form of the expression is (x^2+2)(6x^2-5).
We have given the expression 6x^4 – 5x^2 + 12x^2 – 10
A factor of polynomial P(x) is any polynomial that divides evenly into P(x)
Factoring by grouping
Given the expression 6x^4 – 5x^2 + 12x^2 – 10
Group the terms to have
(6x^4 – 5x^2) + (12x^2 – 10)
Factor out the common values
x^2(6x^2-5)+2(6x^2 - 5)
(x^2+2)(6x^2-5)
Therefore the factored form of the expression is
(x^2+2)(6x^2-5).
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