Q9 of 32 Page 2

Find remainder when f(x) = x3 + 4x2 – 9x + 10 is divided by (x – 2).

Concept Used:


Remainder theorem: If a polynomial f(x) is divided by (x – a) then f(a) will give the remainder.


Explanation:


f(x) = x3 + 4x2 – 9x + 10


f(2) = Remainder when f(x) is divided by (x – 2)


Therefore,


f(2) = (2)3 + 4(2)2 – 9(2) + 10


f(2) = 8 + 16 – 18 + 10


f(2) = 16


Hence, 16 is the remainder when f(x) is divided by (x – 2).


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