We appreciate your visit to what is the quotient of the synthetic division problem below written in polynomial form. 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!
Answer:
-2x^2 + 21x + 41 with a remainder of 108 (Answer A)
Step-by-step explanation:
Let's perform the indicated synthetic division:
3 ) -2 15 -22 -15
6 63 123
-----------------------------
-2 21 41 108
We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:
-2x^2 + 21x + 41 with a remainder of 108 (Answer A)
Thanks for taking the time to read what is the quotient of the synthetic division problem below written in polynomial form. 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
ANSWER
D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]
EXPLANATION
We perform the synthetic division to get:
-2 15 -22 -15
3| -6 27 15
-2 9 5 0
From the synthetic division problem;
The coefficient of the quotient are the first three numbers.
-2, 9, 5
The last number 0 is the remainder
Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.
Therefore the quotient is:
[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]
