Remainders of polynomial division  Algebra : CAT 2016 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 x^{4 }  3x^{2 }+ 7x  10 is divided by x  2
(1) 8
(2) 20
(3) 18
(4) 0
Correct Choice is (1) and Correct Answer is 8
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
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