Answered

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Which is not a factor of the given polynomial y3 + 4y2 - 19y + 14

A. Y+2
B. Y-1
C. Y+3
D. Y+7​

Sagot :

MissyArelleeeeeidn

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).

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