78. how can the polynomial, 18x^2 + 30x^6 be factored using the gcf? x^6(18x^3 + 30)6x^6(3x^3 + 5)6x^4(3x^3 + 30x^6)6(3x^9 + 5x^6)

6x^2(5x^4 +3)

Step-by-step explanation:

The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.

The greatest common factor of x^2 and x^6 is x^2.

Factoring 6x^2 from both terms, we get ...

... 18x^2 +30x^6 = 6x^2(3 +5x^4)

Comment on the question

Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.

It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.