Factor the trinomial, or state that the trir

Select the correct choice below and, if
A.
B. The polynomial is prime.

Ask by Lowe Hanson. in the United States

Mar 11,2025

Question

Factor the trinomial, or state that the trir $$ y^{2}-9 y+14 $$ Select the correct choice below and, if A. $$ y^{2}-9 y+14= $$ B. The polynomial is prime.

UpStudy AI · Accepted Answer

1. We are given the trinomial  
   $$
   y^2 - 9y + 14.
   $$

2. To factor the trinomial, we look for two numbers that multiply to $$ 14 $$ (the constant term) and add to $$ -9 $$ (the coefficient of $$ y $$).

3. The numbers $$-7$$ and $$-2$$ satisfy these conditions because  
   $$
   (-7) \times (-2) = 14 \quad \text{and} \quad (-7) + (-2) = -9.
   $$

4. Using these numbers, the trinomial factors as  
   $$
   y^2 - 9y + 14 = (y - 7)(y - 2).
   $$

Thus, the correct factorization is option A:  
$$
y^2 - 9y + 14 = (y - 7)(y - 2).
$$
$$ y^2 - 9y + 14 = (y - 7)(y - 2) $$

Factor the trinomial, or state that the trir

Select the correct choice below and, if
A.
B. The polynomial is prime.

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Factor the trinomial, or state that the trir Select the correct choice below and, if A. B. The polynomial is prime.