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Polynomials (1 Viewer)

Aerath

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I can never ever do these questions. Thanks so much:

When polynomial P(x) is divided by x(x-1), quotient is Q(x) and the remainder is R(x) = ax + b.

i) Given P(1) = 3, show that R(1) = 3
[done]

ii) Furthermore, when P(x) is divided by x, the remainder is -4. Find R(x).

Seen this question a million times. Never understood how it works.
 

azureus88

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It's just a matter of finding a and b. Sub in x=0 and x=1 and you should have two equations which allow you to find a and b.
 

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