Question

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x.

(x^5 - 8x^3 + 24x^2 + 12x + 40) divided by (x + 4)

Answer 1

Answer:

Step-by-step explanation:

Divide polynomial using synthetic division

$(x^5-8x^3+24x^2+12x+40)\div (x+4)$

First we write polynomial with all term.

$(x^5+0x^4-8x^3+24x^2+12x+40)\div (x+4)$

Using Synthetic Division:

First write -4 and coefficient of polynomial in order.

  -4  |  1      0       -8        24        12         40  |

                -4       16       -32        32      -172

          1     -4        8         -8        44     -136

Quotient: $x^4-4x^3+8x^2-8x+44$

Remainder: $-136$

Please find the attachment for grid entry.