Answer:
15
Explanation:
You want the remainder from division of f(x) = 2x³ +5x² -12x by x -(-1).
Synthetic division
The table used for synthetic division is built by listing the zero of the divisor at upper left, and the coefficients of the polynomial across the top to the right of that. They are listed in order of decreasing degree, with any necessary zero coefficients put in the appropriate place(s).
The attachment shows the table and the instructions for filling it out. The value at the bottom in the rightmost column is the remainder from the division.
The remainder theorem tells you that is also the value of the function for x = k.
The remainder from f(x) ÷ (x +1) is 15.
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