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What the following polynomial division is performed, what is the right choice for...

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lkballer24 | Student, Grade 11 | Valedictorian

Posted August 20, 2013 at 1:28 PM via web

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What the following polynomial division is performed, what is the right choice for Question 20?

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted August 20, 2013 at 1:53 PM (Answer #1)

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Using remainder theorem if a polynomial` f(x)` is divided by `(x-a)` then the remainder is given by `f(a)` .

`f(x) = x^3-2x+4`

We want to divide `f(x)` by `(x-2)` . That means `a = 2` .

So by remainder theorem;

Remainder `= f(a) = f(2) = 2^3-2xx2+4 = 8`

So the remainder is 8. The correct answer is given in option a)

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