Linear Quadratic Answers

Remainders of polynomial division - Algebra : CAT 2007 Preparation

Question 4 the day : April 17, 2003
The question for the day is from the topic of Algebra. It is about finding the remainder of the division of a polynomial

Question
Find the remainder when the polynomial x⁴ - 3x² + 7x - 10 is divided by x - 2

(1) 8
(2) -20
(3) 18
(4) 0
Correct Choice is (1) and Correct Answer is 8

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Explanatory Answer

By remainder theorem: If a polynomial in one variable 'x' is divided by (x - a), where 'a' is any real number, then the remainder is the value of the polynomial at x = a.

Therefore, remainder = (2)⁴ - 3(2)² + 7(2) - 10 = 8