Factor the trinomial, or state that the trinomial is prime.
Select the correct choice below and fill in any answer boxes within your choice.
A.
B. The polynomial is prime.

Question

Factor the trinomial, or state that the trinomial is prime. Select the correct choice below and fill in any answer boxes within your choice. A. $$ x^{2}-3 x-18 $$ B. The polynomial is prime.

UpStudy AI · Accepted Answer

1. We have the trinomial
   $$
   x^2 - 3x - 18.
   $$

2. We need to find two numbers that multiply to $$-18$$ (the product of the coefficient of $$ x^2 $$ and the constant term) and add up to $$-3$$ (the coefficient of $$ x $$).  
   The numbers $$3$$ and $$-6$$ satisfy these conditions since $$3 \times (-6) = -18$$ and $$3 + (-6) = -3$$.

3. Using these numbers, we factor the trinomial as:
   $$
   (x + 3)(x - 6).
   $$

4. Therefore, the correct choice is A, and the factorization is:
   $$
   x^{2} - 3x - 18 = (x + 3)(x - 6).
   $$
The trinomial $$ x^{2} - 3x - 18 $$ factors to $$ (x + 3)(x - 6) $$.

Factor the trinomial, or state that the trinomial is prime.
Select the correct choice below and fill in any answer boxes within your choice.
A.
B. The polynomial is prime.

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Factor the trinomial, or state that the trinomial is prime. Select the correct choice below and fill in any answer boxes within your choice. A. B. The polynomial is prime.

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Factor the trinomial, or state that the trinomial is prime.
Select the correct choice below and fill in any answer boxes within your choice.
A.
B. The polynomial is prime.