Answer:
Option (a) is correct.
The given polynomial [tex]8x^5+4x^2-12[/tex] can be factorized as [tex]4(2x^5+x^2-3)[/tex]
Step-by-step explanation:
Given : Polynomial [tex]8x^5+4x^2-12[/tex]
We have to factorize the given polynomial [tex]8x^5+4x^2-12[/tex] and choose the correct out of given options.
Consider the given polynomial [tex]8x^5+4x^2-12[/tex]
Taking 4 common from each term, we have,
[tex]8x^5+4x^2-12=4(2x^5+x^2-3)[/tex]
Since, we cannot factorize the expression [tex]2x^5+x^2-3[/tex] further using any factorization technique.
So , the given polynomial [tex]8x^5+4x^2-12[/tex] can be factorized as [tex]4(2x^5+x^2-3)[/tex]
Thus, Option (a) is correct.
