Question

What is the remainder of x3 − 3x2 + 7x + 5 divided by (x + 4)?

Answer 1

Let's use syntethic division
The dividend is x^3-3x^2+7x+5
Write the coefficients in decresing order:
x^3 x^2 x Independent term
1 -3 7 5

Let's do the synthetic division with x=-4
! 1 -3 7 5
-4 !___-4__28__-140_
1 -7 35 -135

The remainder is the last term: -135

Answer 2

Answer: -135

Step-by-step explanation:

1) I will use synthetis division

2) Write the coefficients of the divisor in order

1 -3 7 5

3) Dividing by x + 4 => use x = - 4

4) Division:

| 1 -3 7 5
|
- 4 | -4 +28 - 140
-------------------------------
1 -7 35 - 135

5) The last number is the remainder: - 135