Question

can someone show me how to solve these 3 polynomials and leave your work?
1.2x4(4x2 + 3x + 1)
2. (4x – 3)(2x2 – 7x + 1)
3. (x2 + 4x – 3)(2x2 + x + 6)

Answer 1

its just multiplication

Answer 2

if you can do:

123
x12
----

you can do these

Answer 3

of course theres no FOIL to follow, but then FOIL is useless to begin with :)

Answer 4

ill demonstrate on #3

x^2 + 4x – 3
2x^2 + x + 6
------------
2x^4 +8x^3 -6x^2
x^3 +4x^2 - 3x
6x^2 +24x -18
----------------------------
and add em up

i tend to perfer to do my polys from right to left but thats not a requirement

Answer 5

err, left to right .... i cant even get my directions sorted out correctly lol

Answer 6

can u help me with other 2?

Answer 7

that is my help for the other 2; I figure if you can see how its done with the most complicated one; you can determine it for the simpler ones .

Answer 8

otherwise your question is not about what youve posted at all

Answer 9

i dont know to simplify them :L

Answer 10

simplify them? your expanding them

Answer 11

spose x = 10

2x4(4x2 + 3x + 1) -> 20000 (400 + 30 + 1)

would you be able to accomplish this?

Answer 12

i guess but i dont know the value of x on those equations

Answer 13

x is any value ....

Answer 14

then how do i put it in standerd form?

Answer 15

spose x = 1

2x4(4x2 + 3x + 1) -> 2(4+3+1)

Answer 16

the point is; you can multiply it out in the same manner

Answer 17

4x2 + 3x + 1 4 + 3 + 1
2x4 2
-------------- --------
8x6 +6x5 +2x4 8 + 6 + 2

Answer 18

multiplication doesnt change just becasue we include some new aspects of it

Answer 19

can u walk me through number 2?

Answer 20

i already have :) its the same walk through as 1 and 3

if you give 2 a try I can see if I can help you smooth off the rough edges tho

Answer 21

(4x – 3)(2x^2 – 7x + 1)
so what would i do first?

Answer 22

rewrite it so that the longer one (the trinomial) is up top and the other one is underneath like a normal everyday multiplication problem from the 2nd grade

Answer 23

im so confused how do i make it longer??

Answer 24

your question is not the one you posted.

the longer one is the trinomial; your question is: what is a trinomial ....

Answer 25

its number 2...

Answer 26

i am working under the assumption that you already possess a fundamental understanding of the problem that you are asking. If you are not even able to read the problem then working out an answer is pointless

Answer 27

i might as well give you direction to Tony's Pizza in baltimore given that youve never been to baltimore ....

Answer 28

i miss wrote it in question forgot to put the ^ in for exponents :L

Answer 29

i saw that :)

Answer 30

so the other answers arnt good anymore?

Answer 31

the other answers are perfect; but they dont help you to learn any of it if you dont understand the basic principles involved.

Answer 32

which dont....

Answer 33

which i dont*

Answer 34

I can get a parrot to repeat what I say; that doesnt mean the parrot knows what they are saying right?

Answer 35

uhh wut...

Answer 36

math is built upon knowledge gained prior.

If you lack the prior knowledge then you cant build. its just that simple.

answers dont impart knowledge.

Answer 37

but let me write the problem out and we might be able to work a suitable result

Answer 38

thanks

Answer 39

we have 2 parts to work with; a longer part and a shorter part; the longer part is called a trinomial since it has 3 terms (a tricycle has 3 wheels)

(2x^2 – 7x + 1) is a trinomial
^ ^ ^

the shorter one here is a binomial since it has 2 term (a bicycle has 2 wheels)

(4x – 3) is a binomial
^ ^


write this up so that the trinomial is on top and the binomial underneath so that it resembles a 2nd grade multiplication problem



2x^2 – 7x + 1
4x – 3
-------------



then just like in the 2nd grade; multiply it out

Answer 40

so when i multiply i would get 2x^2 - 28x - 3?

Answer 41

lets do that step by step and see where it leads :) my first instinct says no

Answer 42

lets use that -3 and multiply it thru term by term up top;

-3 * +1 =

-3 * -7x =

-3 * 2x^2 =

Answer 43

so 6^2 + 21x - 3?

Answer 44

barring for a few typos; yes :)

now we ove to the next term; the 4x and multiply it thru every term in the top


2x^2 – 7x + 1
4x – 3
-------------
-6x^2 +21x -3




4x * 1 =

4x * -7x =

4x * 2x^2 =

Answer 45

4
-48x
8x^2

Answer 46

correct, except 4*7 = 28 :)


2x^2 – 7x + 1
4x – 3
-------------
-6x^2 +21x -3
8x^3 -28x^2 +4x
--------------------
now just like 2nd grade multiplication
we add up the results to get our answer

Answer 47

oops :d

Answer 48

as long as we line up like terms; the adding is good; but sometimes we will get unlike terms that just need to be separated but the adding still takes place

Answer 49

so -6x^2 + 21x - 3
8x^3 - 28x^2 + 4x
-----------------------
8x^3 - 34x^2 + 25x - 3?

Answer 50

thats correct :)

Answer 51

so if you know how to multiply like they taught you in the 2nd grade; you can do any polynomial multiplication

Answer 52

:D

Answer 53

can u help me again?

Answer 54

i need to make an polynomial for the area of a rectangle

Answer 55

i think I need to take a break after that one :) post your questions to the left and give others the chance to help out ;)

Answer 56

alright :l

Answer 57

@Preetha , see Turing aint the only one that can do it ;)

Answer 58

Amistre, this was masterful. Lesson for us teachers, the question that is asked is not always the real underlying conceptual gap. You just showed that. I would save this interaction in your portfolio! I will.