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.

To factor the trinomial \( y^{2}-9y+14 \), we look for two numbers that multiply to 14 (the constant term) and add to -9 (the coefficient of the linear term). The numbers -7 and -2 fit the bill since \(-7 \times -2 = 14\) and \(-7 + -2 = -9\). Thus, we can factor the trinomial as: \( y^{2}-9y+14 = (y-7)(y-2) \). Now we've got it nicely factored! If you were wondering whether this polynomial is prime, the answer is no—it can be factored into two binomials, so it's not a prime polynomial at all!