Help with Polynomials question ! (1 Viewer)

youngsky

poof
Joined
Sep 23, 2012
Messages
205
Location
Sydney
Gender
Male
HSC
2014
abc.png

guys if you know how to do this please do it and include the process

thanks
 

J2good4u

Member
Joined
Apr 25, 2011
Messages
75
Gender
Male
HSC
N/A
basically all you need to do is apply the remainder theorem. So all you do is sub in x=1 into the equation so you get:
(1)^4 + p(1)^3 +q(1) + 1
= 1+p+q+1
= p+q+2
and we know that the remainder is 3 i.e. Q(x) = 3 therefore p+q+2 = 3...(1)
Do the same thing but now sub in x= -2 to get:
-8p-2q+17. we know that the remainder is -3 i.e. Q(x)= -3 therefore -8p-2q+17=-3...(2)

Then you just solve these two equations simultaneously
 

J2good4u

Member
Joined
Apr 25, 2011
Messages
75
Gender
Male
HSC
N/A
so you put x=-2:
(-2)^4 + p(-2)^3 + q(-2) + 1
= 16-8p-2q+1
= -8p-2q+17
 

youngsky

poof
Joined
Sep 23, 2012
Messages
205
Location
Sydney
Gender
Male
HSC
2014
polynomials 2.png

hey, can anybody solve this one as well?

I got up to a + b = 21 but can't get any further :/
 

Nws m8

Banned
Joined
Oct 21, 2012
Messages
494
Gender
Male
HSC
2012
Uni Grad
2018
fkin sub in the values , get two fkin equations, solve em simultaneously brah
like wtf?
 

Nws m8

Banned
Joined
Oct 21, 2012
Messages
494
Gender
Male
HSC
2012
Uni Grad
2018
sub in 3 and make the eq = 0

sub in 1 and make eq = - 8

fkin solve em simult. brah :!
 

Nws m8

Banned
Joined
Oct 21, 2012
Messages
494
Gender
Male
HSC
2012
Uni Grad
2018
fkin poly brah , fkin make me rage brah hahahahhaha sory bout that, did u get it though?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top