Question

find the remainder when x³+3x²+3x+1 is divided by X+1 ​

Answer 1

Answer:

0

Step-by-step explanation:

method 1

___________

x+1 ) x³+3x²+3x+1 ( x²+ 2x+1

x³+x²

———————

0 +2x²+3x+1

2x²+2x

———-——

x+1

x+1

———

0

method 2

take x+1=0

x= -1

now put the value of x in the polynomial

x³+3x²+3x+1

-1+3-3+1

0

hence reminder is 0

Answer 2

Answer:

0

Explanation:

x³+3x²+3x+1

By factor theorem

=> x+1 =0

=>x=0-1

Therefore, x= -1

p(x) = x³+3x²+3x+1

p(-1) = (-1)³ + 3(-1)² + 3(-1) + 1

= -1 + 3 -3 + 1

= 0

Therefore, remainder = 0