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The polynomials f x and g x are defined by f x = x 3 + ax2 + b and g x = x 3 + bx2 − a,

Question

The polynomials f

x and g

x are defined by

f

x = x

3 + ax2 + b and g

x = x

3 + bx2 − a,

where a and b are constants. It is given that

x + 2 is a factor of f

x. It is also given that, when g

x

is divided by

x + 1, the remainder is −18.

(i) Find the values of a and b. [5]

(ii) When a and b have these values, find the greatest possible value of g

x − f

x as x varies.

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Math
1 month
2021-12-27T09:29:33+00:00
2021-12-27T09:29:33+00:00 1 Answer
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## Answers ( )

Answer:Step-by-step explanation: