Question

find the remainder when x3+3x2+3x+1 is divided by x+1 short cut

Answer 1

Hey dear !!!

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Let's solve it by factor theorem!!

==>> In the example

p(x) = x³ + 3x² + 3x + 1 is divided by ( x + 1 )

x = -1 taking

p(-1) = (-1)³ + 3(-1)² + 3(-1) + 1

= -1 + 3 * 1 - 3 + 1

= -1 + 3 - 3 + 1

= 2 - 3 + 1

= - 1 + 1

= 0


∴ The Remainder will be 0 .

Answer 2

Hey user here is your answer ........

-----> To divide - x^3+3x^2+3x+1 by x+1

◆ X+1=0

●x=-1

◆Put value of x in given expression

◆P(-1)=(-1)^3+3(-1)^2+3(-1)+1

◆P(-1)= (-1)+(3)+(-3)+1

-----> Open brackets

◆P(-1)=-1+3-3+1

◆P(-1)=0

◆So here remainder is 0.

Hope it helps you☺️