GCU Factoring Cubic Divded by Linear or Quadratic Function Exercise

Description

Complete problem on screenshot as well as answer the question in the description. Provide a screenshot or type out the steps used to solve the equation on the screenshot. This one is factoring a cubic divded by a linear or quadratic function. Here is my version of the question, I will type x3 to mean x cubed and x2 to mean x squared here:(27×3+45×2-6x-10)/(9×2-2) notice that I have parentheses around the top and bottom, if you don’t type these it is technically incorrect since we need to follow the convention of parentheses being the overall top dog in PEMDAS. looking at the top we can group 27×3 – 6x + 45×2 – 10 then factor each group as 3x(9×2-2) + 5(9×2-2) = (3x+5)(9×2-2)so we get (3x+5)(9×2-2) / (9×2-2) = 3x + 5So the whole idea here is to “reverse FOIL” or otherwise factor a two-term expression from 4 terms, this techinique is referred to as factor by grouping.Some discussion points we can expand on in the threads below:1. Can you find any general applications of factoring? Please don’t forget to solve equation in the screenshot that has been uploaded

1 attachmentsSlide 1 of 1attachment_1attachment_1

Unformatted Attachment Preview

o 50° C
LTE 4
39% 10:02
Quiz: Topic 4 DQ 2
This Question: 1 pt
1 of 1 (0 comple
Divide.
32×3 – 48×2 – 80x – 24
8x + 4
The answer is
(Simplify your answer.)

Purchase answer to see full
attachment

Tags:
factored form

Polynomial Division

General applications of factoring

roots of a polynomial

positive and negative term

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.