Question

Find the remainder when P(x)= x^4 -3x^3 +4x^2 +5 is divided by x+2

Answer 1

when I did it I got 61, but if others would like to confirm this..long time since I done long division.

Answer 2

\[(x+2)(x ^{3} -5x ^{2}+14x-28)\]

Answer 3

Thank you! You're probably right. Would this work with synthetic as well?

Answer 4

Dont understand the question..explain?

Answer 5

Would you be able to divide using synthetic division?

Answer 6

I dont know what synthetic division means...is it like long division...I've been doin maths for some time now, and I've never heard of this term.

Answer 7

Nevermind then. It's Algebra II. D:

Answer 8

I have no problem with algebra, give me a question and I will tell you how to do it.

Answer 9

and u are a noob^

Answer 10

and u are a noob^

Answer 11

is that question for me joeymason or for ginamercedes

Answer 12

Do you know how to do this one?
Find the equation of the perpendicular bisector of the line connecting P(-4, 6) and Q(4, -2).

Answer 13

yes

Answer 14

the equation of a line: \[y _{2}-y _{1}=m(x _{2}-x _{1})\]

Answer 15

y2=-2, y1=6, x2=4, x1=-4

Answer 16

now for m(the slope)
\[m=y _{2}-y _{1}/x _{2}-x _{1}\]

Answer 17

-2-6 / 4+4
So -8/8
-1?

Answer 18

if you fill in the values in these equations you will have the line that connects your two points. the perpendicular bisector will be a line which is perpendicular. you already know the slope of your line..lets say b/a, then the slope of the perpendicular line is -a/b

Answer 19

So from here, I just plug it in?

Answer 20

now, the perpendicular line is the opposite slope

Answer 21

so if your slope is a/b, then the slope of the perpendicular line is -b/a

Answer 22

sorry for the delay my system crashed had to reboot

Answer 23

It's okay, thank you for your assistance thus far.

Answer 24

now you have the slope of the perpendicular bisector, you need to find a point on that line

Answer 25

to do this we find the midway point (hence the term bisector) which means cut in half

Answer 26

the midway point is simply \[x _{1}+x _{2}/2, y _{1}+y _{2}/2\]

Answer 27

once you have that you have the slope and one point on the line, you can then get the equation of the line

Answer 28

in this case as you said the slope is -1

Answer 29

or -1/1 therefore the slope of the perpendicular is -(1/-1) = 1

Answer 30

now the bisector (point) is -4+4/2=0/2=0 and 6+(-2)=4
so your midpoint (the point on your line is (0,4)

Answer 31

then putting this into the equation y-y1=m(x-x1) we get
the following

Answer 32

y-4=1(x-0) or y-4=x
which becomes:
y=x+4

Answer 33

I hope that answers your question!

Answer 34

Thank you so much!!!