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. (5x 3 - 12x 2 - 36x -16) (x + 2)

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Answer:

  5x^2 -22x +8 -32/(x+2)

Step-by-step explanation:

See the attachment for the work. The root being evaluated is -2. Each value on the second row is -2 times the previous third row value. The third row value is the sum of the first two rows.

The final lower-right number is the "remainder." By the remainder theorem, it is also the value of the polynomial at x=-2.

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