Answer
quotient$=4x^2-11x+23$, remainder$=-45$
Work Step by Step
1. Use synthetic division as shown, we have quotient$=4x^2-11x+23$, remainder$=-45$
2. We have $(4x^2-11x+23)(x+2)+(-45)=4x^3-3x^2+x+1$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/afd03af8-c5f9-48ca-be3f-648eb8dcedb2/steps_image/small_1633875917.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015107Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=45796477f99e8beb1fc6a3585586619c3c0c39e9b1b3aa959a68706222aec002)
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.