Question

Question 1 (Multiple Choice Worth 1 points)

(07.06)

Which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?

30x2 − 26x − 12 may or may not be a polynomial

30x2 − 11x − 12 may or may not be a polynomial

30x2 − 26x − 12 is a polynomial

30x2 − 11x − 12 is a polynomial

Answer 1

@teddyshakur

Answer 2

@Joyobro @SchoolKid @Jumperman

Answer 3

Hi....

Answer 4

help me foo ..-.

Answer 5

@precal @RowanMartinFan @

Answer 6

i didnt even know that u could even do that D:

Answer 7

>_> @amistre64 @ganeshie8 @thomaster @ajprincess

Answer 8

so, how do you define a closure property?

Answer 9

umm what does that mean?

Answer 10

Im just new in this

Answer 11

your material, the lessons you are spose to be going over, define the terms that are used in this problem. How does your material define the closure property, or how do you define it yourself?

Answer 12

O well a polynomial is a monomial or a sum of monomials . The degree of a polynomial is the degree of the term with the greatest degree

Answer 13

hmm, those are properties of polynomials.

Closure simply means that if we take 2 elements of a set, and operate on them, then the results are another element of the set.

if multiplication of polynomials is closed, the the result of the operation will give us what, another polynomial always, or just sometimes?

Answer 14

hmm so the answer would be a polynomial?

Answer 15

correct, that narrows this to the last 2 options. all we have to do is determine what the multiplication actually produces now.

Answer 16

ok so how do we do that? I've missed a lot of school and I need to finish this to graduate :/

Answer 17

if you havent done alot of polynomial multiplication, dont fear, its the same multiplication process that we learned back in the 3rd grade ....

5x - 6
6x + 2
---------------
10x -12
30x^2-36x
---------------
then add them up

Answer 18

ok ok how would you do (5x-6) + (6x+2)? would it be in that kind of farm if yes then I would multiply 5x and 6x and I would get 30x and -6 x 2 would give me -12
so far I would have 30x___blank -12

Answer 19

correct?

Answer 20

the addition sign between them is not correct, since that is not the sign for multiplication. we are not adding polynomials, we are mutiplying them; I demonstarted how the it is the same process as we learned when we multiply numbers together.

Answer 21

5x - 6
6x + 2
---------------
10x -12
30x^2-36x
---------------
then add them up

Answer 22

remember how, you start with the ones spot, multiply thru the top, then stagger the row and go to the tens spot and multily thru the top .. then you add the rows together

Answer 23

oh so were multiplying them like that?ooh

Answer 24

thats how i do it, since that really all that it is to start with and there is no need to memorize any new stuff like what FOIL is and other nonsense

Answer 25

wait I got 30x^2-37x-12 but that's not right?

Answer 26

your addition needs some fine tuning

10-36 = -25, not 37

Answer 27

5x - 6
6x + 2
---------------
10x -12
30x^2 -36x
---------------
30x^2 -25x -12

Answer 28

oh 10-36 I added them instead

Answer 29

lol, my addition is a little off too, but thats fine

Answer 30

10-36 = -26 ;)

Answer 31

lol I didn't know u said -25 okie so its 30x^2-26-12 and it may be a polynomial

Answer 32

in math, subtraction is not a valid operation .... its best to look at it as adding a negative

Answer 33

it is a polynomial, since its closed; and yes, the middle of it is -26x

Answer 34

okie and would it be a may be polynomial or is a polymonial?

Answer 35

we discussed closure at the start of this; what did we determine?

Answer 36

ok sorry my internet is slow and

Answer 37

Closure simply means that if we take 2 elements of a set, and operate on them, then the results are another element of the set.

if multiplication of polynomials is closed, the the result of the operation will give us what, another polynomial always, or just sometimes?

Answer 38

So the answer Would be C

Answer 39

yes, and you answered that with:

"hmm so the answer would be a polynomial?"

and that is correct :) so, it has to be one of the last 2 options; and we further narrowed it to the one that has a -26x in the middle

Answer 40

correct, C is good

Answer 41

ok one more question

Answer 42

Do you think you can help me out with this? (x2 + 4x − 3)(2x2 + x + 6).

Answer 43

(x^2 + 4x − 3)(2x^2 + x + 6).

Answer 44

remember, its just multilication ....

Answer 45

set it up like a usual multiplication problem, and work the process.

Answer 46

x^2 + 4x - 3
2x^2 + x + 6 , lets start with the 6, multiply it thru the top
---------------
6x^2 + 24x - 18

now we stagger, and do the same thing with the x ...



x^2 + 4x - 3
2x^2 + x + 6
----------------------
6x^2 + 24x - 18
x^3 + 4x^2 - 3x

stagger again and work the 2x^2 ... then add up the rows

Answer 47

i personally like to start at the left and stagger to the left, makes for an easier type up in here


x^2 + 4x - 3
2x^2 + x + 6 , lets start with the 2x^2, multiply it thru the top
---------------
2x^4 +8x^3 -6x^2

stagger and move to the x




x^2 + 4x - 3
2x^2 + x + 6
-------------
2x^4 +8x^3 -6x^2
x^3 +4x^2 -3x

stagger and move to the 6



x^2 + 4x - 3
2x^2 + x + 6
-------------
2x^4 +8x^3 -6x^2
x^3 +4x^2 -3x
6 x^2 + 24x - 18
-----------------------------
same results, just easier to type up

Answer 48

*stagger to the .... well, you can see what i did lol

Answer 49

sorry my internet left me