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

Answer 1

5x^2 -22x +8 -32/(x+2)

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.