Perform the indicated divisions. Express the answer as shown in Example 5 when applicable.

(x − 14x² + 8x³) ÷ (2x − 3)

Data from Example 5

Perform the division

Because there is no x-term in the dividend, we should leave space for any x-terms that might arise (which we will show as 0x).

Because the degree of the remainder 2x + 4 is less than that of the divisor, the long division process is complete and the answer is

8x3+4x2+3 4x - 1