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6. Let the function g be defined by g(x) = x4 – x3 – 9x2 + 9x. It is given that

x = 1 is a zero of the function g. Which of the following best represents the fully
factored form of the function g?

6. Let the function g be defined by g(x) = x4 – x3 – 9x2 + 9x. It is given that x-example-1
User Talabes
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1 Answer

4 votes

Answer:

A

Explanation:

There is an x in all for terms that means that x = 0 is one of the factors and H is incorrect.

One of the remaining factors is x^2 - 9 which factors into (x - 3)(x + 3)

You are told that x = 1 is a zero which means x - 1 is a factor.

The answer is g(x) = x (x - 3)(x + 3) (x - 1) which is A

User Desilijic
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