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Question
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 5x2 – 1x + 4
Solution
Let x – 2 = 0, then x = 2
Substituting value of x in f(x)
f(x) = 5x2 – 7x + 4
⇒ f(2) = 5(2)2 – 7(2) + 4
⇒ f(2) = 20 - 14 + 4 = 10
Hence Reminder = 10.
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