+0

# The polynomial y^3 + y^2 +my - 7 has the same remainder when it is divided by either y-1 or y+1. What is the remainder?

0
315
1

The polynomial y^3 + y^2 +my - 7 has the same remainder when it is divided by either y-1 or y+1. What is the remainder?

Guest Apr 10, 2017
#1
+92495
+2

Using synthetic divsion, we have.:

-1 [  1  1  m    - 7  ]                             1 [  1  1     m           -7 ]

-1  0    -m                                           1     2          m + 2

___________                                 ___ ____________

1 0   m  ( -7 - m)                               1   2   (m + 2)   (  m - 5 )

So

-7 - m     =    m - 5

-2   =   2m

-1  = m

So..... the remainder  is     (-1 - 5)  =  -6

CPhill  Apr 10, 2017

### New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.