Remainder and Factor Theorem
One Day....
Jake! What’s for breakfast?
Anything that has anything, Finn.
What are you doing now, man?
Putting anything to this thing.
VOILA!!!
I hope it tastes great, you know I love food more
than I love people.
Gimme some, man.
THERE’S SOMETHING
BEHIND YOU, MAN!
Should… I… move?!?!
VENGEANCE I THIRST FOR, VENGEANCE I MUST GET!!!
Finn the human, Jake the Dog, you will be my
Prisoners Forever!
WOOOS
H!!
AAAAAHHHHHHHHHH!!!
Plop!
OUCH! That hurts!!TSK.
CRASH!
Hey, Jake! Where are we?!
I don’t know bud.But I remember
the Lich King
YES! THAT LICH KING! And I remember him
saying about Prisoners…
And…something about, *GASP!*
FOREVER!FOREVER!
Are you thinking what I’m thinking
Jake? Yes Finn, I know what
you’re thinking.
ITS…
Hey Jake! There’s something different
on that wall!Oh yeah pal! I can see that!
Hey Jake! There’s something different
on that wall!Oh yeah pal! I can see that!
WOOOS
H!!
You can never
escape from me, Finn and
Jake.
CREEPY…
Let’s take a closer look at the wall
Jake.. Ignore the Lich.
F I n d t dhe Le Tt eR s A n s w e R t-h E N u mBe rS
Find the Letters! Answer the numbers!
How to find the remainder when f(x) = (x+3)(x2-5x+3) is divided by (x-3)
To find the remainder, we
must follow what the remainder
theorem states.
It states that if c is a number and the
polynomial P(x) is divided by x-c, then the
remainder is P(c) where P(c) is the value of the polynomial P(x)
when x = c.
So, if we follow the remainder theorem, it will
be P(3)=[(3)+3][(3)2-5(3)+3]
And the final answer
will be -18!!!
So, we will take 18 steps
to the left because of
the negative sign.
WWOOOHHH!!
Next one please!
Find the remainder
when x5-4x4+5x2-3x+2 is divided by
(x-3).
That’s a piece of cake! Again to find the remainder, we
must follow the statement in remainder theorem.
It will be P(3)=[(3)5-
4(2)4+5(2)2-3(2)+2]and the answer that we can get
is -43
Therefore, we will take 43 steps again to the left
since our answer is negative.
What value of k will make (x-3) a factor of
f(x) = x3+2x2+kx-12
Hey? I think it has something to do with factor theorem which
states that a given polynomial P(x), (x-c) is
a factor of P(x) if and only if P(c) = 0.
Using the factor theorem the equation
will be:f(3) = x3+2x2+kx-12
f(3) = x3+2x2+kx-120 = (3)3+2(3)2+3k-
120 = 27 +18 + 3k –
12-3k=33
K = -11
So we will take 11 steps
to the left
Find the value of k so that
x3+2x2kx+3 will leave a remainder of 5 when divided
by x-2
G(2) = (2)3+2(2)2-2k+3
G(2) = 58 + 8 - 2k + 3 = 5
-2k= -14K = 7
We will take 7 steps to the right.
We’re almost near pal…
there’s another letter
there dude
Yes Jake… We can do this...
Determine the value of K so that P(2) =
2 for P(x) = kx4+2x3-36x+10
Using the remainder theorem,
substitute the value of the divisor.
So it will be,P(2) = k(2)4+2(2)3-36(2)+10
P(2) = 22= 16k + 16 - 72 + 10
46+2 = 16k 48 = 16k
3 = k
The value of k is 3!So, we will take 3 steps to the right.
OH man! I can see the light
Finn!
Another successful adventure! In your
face LICH KING!
YEEEESSS!!!
AT LAST! WE GOT OUT!
Courtesy to Cartoon Network&
THE CREATOR OF ADVENTURE TIME!
SUBMITTED BY:Daizelle Ann P. AngadolJason Ryan A. RamosMerianne O. Santos
IV-Diamond
Find the remainder when f(x) =
(x+3)(x2-5x+3) is divided by (x-3). Negative is to left, positive
to right.
Back
Find the remainder
when x5-4x4+5x2-3x+2 is divided by
(x-3).
BACK
Find the value of k that will make (x-3) a
factor of f(x) =
x3+2x2+kx-12
Back
Determine the value of K so that P(2) = 2
for P(x) = kx4+2x3-36x+10
BACK