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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 :

isyllus

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.

View image isyllus

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