Answer:
The answer is letter C.
Step-by-step explanation:
[tex]y {}^{3} + 4y {}^{2} - 19y + 14 \\ y {}^{3} - y {}^{2} + 5y {}^{2} - 5y - 14 y+ 14 \\ y {}^{2} (y - 1) + 5y(y - 1) - 14(y - 1) \\ (y - 1)(y {}^{2} + 5y - 14) \\ (y - 1)(y {}^{2} + 7y - 2y - 14) \\ (y - 1)(y(y + 7) - 2(y + 7)) \\ = (y - 1)(y + 7)(y - 2)[/tex]
Therefore, the factors of the given polynomial are (y-1)(y+7)(y-2).
#CarryOnLearning
