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

Explanation:

Divide polynomial using synthetic division

`(x^5-8x^3+24x^2+12x+40)/ (x+4)`

First we write polynomial with all term.

`(x^5+0x^4-8x^3+24x^2+12x+40)/ (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.