Question
factor 6x^4 +66x^3 +108x^2
Answers
Answered by
GPT 3.5
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)
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)