Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation. The resulting expression given polynomial function is,
[tex](6x^2-5)(x^2+2)[/tex]
Hence, option 4 is the correct option.
Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation.
The power of the variable is different but has the same variable.Given-the given polynomial equation is,
[tex]6x^4-5x^2+12x^2-10[/tex]
Rearrange the given equation, we get,
[tex]6x^4+12x^2-5x^2-10[/tex]
[tex]6x^2(x^2+2)-5(x^2+2)[/tex]
[tex](x^2+2)(6x^2-5)[/tex]
[tex](6x^2-5)(x^2+2)[/tex]
Thus, the resulting expression given polynomial function is,
[tex](6x^2-5)(x^2+2)[/tex]
Hence, option 4 is the correct option.
For more about the polynomial, follow the link below-
https://brainly.com/question/17822016