Click here to load reader
Date post: | 17-Dec-2014 |
Category: |
Education |
Upload: | daizelle-angadol |
View: | 446 times |
Download: | 10 times |
Click here to load reader
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