When x3+3x2-2x+7 is divided by x+1, the remainder is :?

Answer 1

I believe you use the remainder theorem for this, which states that the remainder when a polynomial f(x) is divided by (x-k) is
f(k)

Thus the remainder would be f(-1) = 11

Answer 2

The remainder theorem:
When P(x) is divided by x-a, the remainder is P(a)

The polynomial P(x) is being divided by x+1, or x-(-1). The remainder is P(-1):
(-1)^3 + 3(-1)^2 - 2(-1) + 7
-1 + 3 + 2 + 7
11

The remainder is 11.

Answer 3

The remainder = 11

Answer 4

x3 + 3x2 -2x + 7 : x +1 = x2 + 2x - 4 with remainder 11

Answer 5

(X^3 + 3X^2 - 2X + 7) / (X+1)= X^2 + 2X - 4 + (11)/(X + 1)
which makes 11 the remainder

Answer 6

x^2 + 2x -4
x+1l x^3 + 3x^2 - 2x + 7
-x^3 - x^2
----------------------------
0 + 2x^2 - 2x
-2x^2 -2x
----------------------------
0 -4x + 7
-4x - 4
----------------------------------
0 + 11

Thus your remainder is 11, but whenever you have a remainder, and when you are deviding by 2 tems with a variable, you make sure you take the remainder and put it over the term.

So in this case, the answer or the remainder would be

11 / (x+1)

Answer 7

Remainder theorem says you sub the value of x that makes the divisor 0, so sub x = -1 and you have the answer.

Answer 8

simple enough, use the Remainder Theorem. or if you're really into math, you can use Synthetic Division to directly find the remainder.

Answer 9

x^2 + 2x - 4 + [11/(x+1)]
_________________
x+1 | x^3 + 3x^2 - 2x +7
-[x^3 + x^2]
2x^2 - 2x
-[2x^2 +2x]
-4x + 7
-[-4x - 4]
11
So your answer is
x^2+2x-4+[11/(x+1)] with the last part being your remainder

Answer 10

x2 2x
x+1 x3 + 3x2 -2x +7
x3 x2
2x2 -2x
2x2 +2x
7
the answer is x2+2x + [7/(x+1)]