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Question
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 3x2 + 4x + 50, g(x) = x – 3
Solution
Given, p(x) = x3 – 3x2 + 4x + 50 and g(x) = x – 3
Here, zero of g(x) is 3.
When we divide p(x) by g(x) using remainder theorem, we get the remainder p(3).
∴ p(3) = (3)3 – 3(3)2 + 4(3) + 50
= 27 – 27 + 12 + 50
= 62
Hence, remainder is 62.
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