The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
[tex]F=(6x^4)^2-7^2[/tex]
[tex]F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)[/tex]
Thus, the required factors are
[tex]F=((6x^4)-7)(6x^4)+7)[/tex]
Therefore,option (C) is correct.
To learn more about factors visit:
https://brainly.com/question/25829061
