Factor by grouping. $$ x^{3}-9 x^{2}+5 x-45 $$ Select the correct choice below and fill in any answer boxes within your choice. B. The polynomial is prime. Bx $$ 25 x-45= $$

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1. Group the terms in two pairs:
   $$
   (x^3 - 9x^2) + (5x - 45)
   $$

2. Factor out the greatest common factor (GCF) in each group:
   $$
   x^2(x - 9) + 5(x - 9)
   $$

3. Notice that both terms contain the common factor $$(x - 9)$$. Factor it out:
   $$
   (x - 9)(x^2 + 5)
   $$

Thus, the polynomial factors as:
$$
(x - 9)(x^2 + 5)
$$
The polynomial factors as $$ (x - 9)(x^2 + 5) $$.

Factor by grouping.

Select the correct choice below and fill in any answer boxes within your choice.
B. The polynomial is prime.
Bx

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Factor by grouping. Select the correct choice below and fill in any answer boxes within your choice. B. The polynomial is prime. Bx