Respuesta :

Edufirst
Answer: -135

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
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