High School

We appreciate your visit to Complete the synthetic division problem below 2 1 7 18 What is the quotient in polynomial form A x 7 B x 9 C x. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Complete the synthetic division problem below:

2 | 1 7 -18

What is the quotient in polynomial form?

A. x - 7
B. x - 9
C. x + 7
D. x + 9

Answer :

Final answer:

The quotient in the polynomial form for the synthetic division problem 2 | 1 7 -18 is D. x + 9. The process involves carrying down and combining coefficients systematically.

Explanation:

To solve the synthetic division problem given as 2 | 1 7 -18, we follow these steps:

  1. Bring down the initial coefficient, 1, to the bottom row.
  2. Multiply this coefficient by 2 (the divisor), and place the result (2) under the next coefficient (7).
  3. Add the numbers in the second column to get the new coefficient (7 + 2 = 9).
  4. Multiply the new coefficient by the divisor (9 * 2 = 18) and place this result under the -18.
  5. Add the last column to get the new last coefficient (-18 + 18 = 0).
  6. The numbers in the bottom row represent the coefficients of the quotient polynomial. In this case, the coefficients are 1 and 9.

The quotient in polynomial form of the division is x + 9, so the correct answer is D. x + 9.

Always remember to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.

Thanks for taking the time to read Complete the synthetic division problem below 2 1 7 18 What is the quotient in polynomial form A x 7 B x 9 C x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada