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)

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isyllus isyllus · Answer 1 · 2019-03-19T11:15:53-04:00

Answer:

Step-by-step explanation:

Divide polynomial using synthetic division

[tex](x^5-8x^3+24x^2+12x+40)\div (x+4)[/tex]

First we write polynomial with all term.

[tex](x^5+0x^4-8x^3+24x^2+12x+40)\div (x+4)[/tex]

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: [tex]x^4-4x^3+8x^2-8x+44[/tex]

Remainder: [tex]-136[/tex]

Please find the attachment for grid entry.