Q1 of 86 Page 42

Find the remainder when x3 + 3x2 + 3x + 1 is divided by the following Linear polynomials:

x

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


As we know by Remainder Theorem,


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


⇒ Remainder of p(x) when divided by x is p(0)


P(0) = (0)3+ 3(0)2+ 3(0) + 1


= 1


∴ Remainder of x3 + 3x2 + 3x + 1 when divided by x is 1


More from this chapter

All 86 →
1

Find the remainder when x3 + 3x2 + 3x + 1 is divided by the following Linear polynomials:

x + 1

 1

Find the remainder when x3 + 3x2 + 3x + 1 is divided by the following Linear polynomials:

 1

Find the remainder when x3 + 3x2 + 3x + 1 is divided by the following Linear polynomials:

x + π

 1

Find the remainder when x3 + 3x2 + 3x + 1 is divided by the following Linear polynomials:

5 + 2x