Question

Find the fourth degree polynomial function with zeros 6,-6,6i

Answer 1

Answer:

1) -6

2) 6

3) -6i

Step-by-step explanation:

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Answer 2

Answer:

See below

Step-by-step explanation:

6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296