Q1 of 90 Page 29

Find the remainder on dividing the polynomial x4 + x3 -3x2 + 3x + 1 by the following monomial expression:

3 + 2x


We will find remainder using remainder theorem which states that


If a polynomial p(x) is divided by a polynomial x – a then the remainder is p(a)


Let p(x) = x4 + x3 - 3x2 + 3x + 1


3 + 2x = 2(x + )


here


⇒ p(a) = p()










Hence the remainder when p(x) is divided by 3 + 2x is


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