Question

H. Find the remainder when x 3 + 3x² + 3x + I is divided by : x+1
​

Answer 1

Answer:

remainder = 0

Step-by-step explanation:

x³ + 3x² + 3x + 1 divided by x + 1

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number.

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

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

The root of x + 1 = 0 is -1

p(-1) = (-1)3 + 3(-1)2 + 3(-1) + 1

= -1 + 3 - 3 + 1

= 0

Answer 2

Step-by-step explanation:

Step 1 : x +1 = 0

x = -1

step 2: replace = x cube + 3x² + 3x + I

= (-1) *(-1)*(-1) + 3 * (-1) *(-1)+ 3*(-1) +1

= -1+3-3 +1

=0. answer

hence proved