Question

Divide using synthetic division and simplify your answer. Do not factor.

Answer 1

To divide using synthetic division, write the dividend in descending order of powers, divide the first term by the divisor, multiply and subtract to find the next term, repeat the process until all terms have been divided, simplify the quotient by eliminating like terms, and check the answer for reasonableness.

Step-by-step explanation:

1. Write the dividend in descending order of powers.
2. Divide the first term of the dividend by the divisor.
3. Multiply the result with the divisor and subtract it from the next term of the dividend.
4. Repeat the process until all terms have been divided and subtracted.
5. The resulting expression is the quotient.
6. Simplify the quotient by eliminating any like terms.
7. Check the answer to ensure it is reasonable.