Which of the following is a factor of 5x3 − 135? a) 5 b) x + 3 c) x2 − 3x + 9 d) all of the above

The correct answer option is A) 5.

Explanation:

We are given the following expression and we are to factorize it:

If we take the common term out of this, then we are left with:

Now the term can also be written in the form of as:

Next, we will factorize it applying the difference of cubes formula to get:

Adding the common term back to it to get:

Therefore, from the given answer options we can see that the option A) 5 is the factor of the given expression 5x^3 - 135.

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3