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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics

1 answer:

ASHA 777 [7]3 years ago

8 0

(y + 2)(y - 4i)(y + 4i)

note that the polynomial = 0 when y = - 2

(-2)³ + 2(- 2)² + 16(- 2) + 32 = - 8 + 8 - 32 + 32 = 0

hence y = - 2 is a root thus (y + 2) is a factor

dividing the polynomial by (y + 2) gives

y³ + 2y² + 16y + 32 = (y + 2)(y² + 16) = (y + 2)(y - 4i)(y + 4i)

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