Q1 of 90 Page 29

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

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


x – 1/2


comparing x – 1/2 with x – a we have here a = 1/2


⇒ p(a) = p(1/2)


⇒ p(1/2) = (1/2)4 + (1/2)3 - 3(1/2)2 + 3(1/2) + 1











Hence the remainder when p(x) is divided by x – 1/2 is


More from this chapter

All 90 →
4

Find the zeroes of the following polynomials.

i. p(x)=x-4


ii. p(x)=4x


iii. p(x)=bx, b≠0


iv. p(x)=x+3


v. p(x)=2x-1


vi. p(x)=3x+7


vii. p(x)=cx +d, c≠0, c, d are real numbers.

 1

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

x-1

 1

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

x + π

 1

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

3 + 2x