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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Maya 1 month 2021-12-27T09:29:33+00:00 1 Answer 0 views 0

Answers ( )

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    2021-12-27T09:31:27+00:00

    Answer:

    Step-by-step explanation:

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45:7+7-4:2-5:5*4+35:2 =? ( )