Question

-work and answer, medal given-
Find the remainders when you divide each polynomial by x-4
a. x^4-2
b. x+1
c. x^2+2x+3
d. x^5+x^3+x
e. x^5+x^4+x^3
f. (x^2+2x+3)(x+1)

Answer 1

Hint: substitute 4 to the x and you will get the answer. you can do it. :)

Answer 2

I would like to not give the answer and just give the procedure because it is the real purpose of this site. i know that you can do it. i will tell if your answers are correct. :)

Answer 3

@Mr.NiceGuy27 is it a new way to skip all the work in factoring by inserting 4 for x?

Answer 4

yes @blub2013. It is called the remainder theorem. ;)

Answer 5

@Mr.NiceGuy27 ohhh thanks :)

Answer 6

you're welcome. It is just a technique that might help. if you do the long method, you will arrive at the same answer. :)

Answer 7

@Mr.NiceGuy27 here are all of my answers, how'd i do?
a.254
b.5
c.27
d.1,092
e.1,344
f.135

Answer 8

@blub2013 excellent. i told you, you can do it. :)

Answer 9

@Mr.NiceGuy27 so for the answer, do i put the answer over what we divided by like normal ?

Answer 10

@Mr.NiceGuy27 thanks for the help btw :D

Answer 11

no, there is no need. just the answer. you're welcome. :)

Answer 12

If you are asked, what is the last term, then what you illustrated is the answer. :)