factor 6x^4 +66x^3 +108x^2

Question

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Answer 1

To factor 6x^4 + 66x^3 + 108x^2, we can first look for the greatest common factor among the terms. The GCF is 6x^2.

So, we can rewrite the expression as:

6x^2( x^2 + 11x + 18)

Now, we can factor the quadratic inside the parentheses:

6x^2( x + 2)( x + 9)

Therefore, the factored form of 6x^4 + 66x^3 + 108x^2 is 6x^2( x + 2)( x + 9)