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: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     -136Quotient: [tex]x^4-4x^3+8x^2-8x+44[/tex]Remainder: [tex]-136[/tex]Please find the attachment for grid entry.