Factor and Remainder Theorem

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!

AAAAAHHHHHHHHHH!!!

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!

You can never

escape from me, Finn and

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

The value of k is 3!So, we will take 3 steps to the right.

OH man! I can see the light

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.

Find the remainder

when x5-4x4+5x2-3x+2 is divided by

(x-3).

Find the value of k that will make (x-3) a

factor of f(x) =

x3+2x2+kx-12

Determine the value of K so that P(2) = 2

for P(x) = kx4+2x3-36x+10

Factor and Remainder Theorem

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