Factor out the greatest common factor in the expression. $$ x^{2}(x-6)+19(x-6) $$ Select the correct choice below and fill in any answer boxes within your choice. A. $$ x^{2}(x-6)+19(x-6)= $$ B. The polynomial is prime.

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UpStudy AI · Accepted Answer

1. Identify the common factor in the expression:  
   $$
   x^{2}(x-6)+19(x-6)
   $$
   Both terms contain the factor $$(x-6)$$.

2. Factor out $$(x-6)$$ from the entire expression:
   $$
   x^{2}(x-6)+19(x-6) = (x-6)(x^2+19)
   $$

3. The final factored expression is:
   $$
   (x-6)(x^2+19)
   $$

Thus, the correct choice is A:  
$$
x^{2}(x-6)+19(x-6) = (x-6)(x^2+19)
$$
$$ x^{2}(x-6)+19(x-6) = (x-6)(x^2+19) $$

Factor out the greatest common factor in the expression. \( x^{2}(x-6)+19(x-6) \) Select the correct choice below and fill in any answer boxes within your choice. A. \( x^{2}(x-6)+19(x-6)= \) B. The polynomial is prime.

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