Question

Part A: Factor 3x2y2 - xy2 - 2y2. Show your work. (3 points)

Part B: Factor x2 + 6x + 9. Show your work. (3 points)

Part C: Factor x2 - 25. Show your work. (2 points)

Part D: Do the polynomials in parts A, B, and C have a common factor? Explain your answer. (2 points)
HELPPP WITH ALLLL OF THIS AND SHOWINGG THE WORK PLEASEEEEEEEE TOO HELPP MEEE GET CREDIT :) :)

Answer 1

@Guyzrc00l

Answer 2

Could you show where the numbers are exponents? So we didn't do any mistakes.

Answer 3

@Guyzrc00l OKAY.

Answer 4

well for the 1st question remove the common factor

\[y^2(3x^2 - x - 2)\]

now you need to factor the quadratic....

Answer 5

For Part A:
(sorry campbell_st)

3x^(2)y^(2)-xy^(2)-2y^(2)

Factor out the GCF of y^(2) from the expression 3x^(2)y^(2).
y^(2)(3x^(2))-xy^(2)-2y^(2)

Factor out the GCF of y^(2) from the expression -xy^(2).
y^(2)(3x^(2))+y^(2)(-x)-2y^(2)

Factor out the GCF of y^(2) from the expression -2y^(2).
y^(2)(3x^(2))+y^(2)(-x)+y^(2)(-2)

Factor out the GCF of y^(2) from 3x^(2)y^(2)-xy^(2)-2y^(2).
y^(2)(3x^(2)-x-2)

Answer 6

@Guyzrc00l A: 3x^2y^2-xy^2-2y^2
B: x^2+6x+9
C: x2-25

Answer 7

Thanks

Answer 8

@Guyzrc00l welcome

Answer 9

but the problem is that in PART A... @Guyzrc00l hasn't factored the quadratic equation for you...

Answer 10

For part A: Checked with a powerful calculator also.

3x^2y^2 - xy^2 - 2y^2
y^2(3x^2) - xy^2 - 2y^2
y^2(3x^2) + y^2(-x)+y^2(-2)
y^2 (3x^2 - x - 2)

Answer 11

Same result @campbell_st

Answer 12

@Guyzrc00l
TO make sure the answer is right??

Answer 13

but if you read my post... I said that the quadratic can be factored.... without a powerful calculator....

PART A

\[y^2(3x^2 - x -2) = y^2 (3x +2)(x -1)\]

Answer 14

The question just asked to factor it. Simple.

Answer 15

yes.... andthe question is about factoring quadratics.... which means you would need to fully factor each expression....

Answer 16

Well, ok fine. You are right too. The result will be then.... (3x + 2) (x - 1) y^2

Answer 17

For Part B:

x^2 + 6x + 9
(x + 3)(x + 3)
(x + 3)^(1+1)
(x + 3)^2

Answer 18

I'm assuming that x2-25 is actually "x^2-25"
For Part C:

x^2 - 25

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a^(2)-b^(2)=(a-b)(a+b).

(x - 5)(x + 5)

Answer 19

@Guyzrc00l for (3x+2) (x-1) y^2 that is for part a??

Answer 20

Yes

Answer 21

That is the last step

Answer 22

@Guyzrc00l Nope, Part C dose not have a exponent

Answer 23

@campbell_st A little help here? If you don't mind.

Answer 24

@Guyzrc00l Nope, it does not I looked it's a regular two that's where i am thrown for a loop

Answer 25

oh, make you could take a snippet of it. Is it on a computer?

Answer 26

the last looks like

(x -5)(x+5) the difference of 2 squares...

Answer 27

@Guyzrc00l Yes, i am on a computer I don't know how to take a picture of it and put it on here??

Answer 28

@pbrianna100 said that there isn't an exponent after x. And that it isn't a normal 2

Answer 29

Are you using windows or mac?

Answer 30

@Guyzrc00l I have a windows 7 on my computer

Answer 31

click Start and type Snipping Tool

Answer 32

@Guyzrc00l Okay, I did what to do next?

Answer 33

Select the area with the problem and save it on your computer

Answer 34

You'll have to open the program first of course. "Snipping Tool"

Answer 35

@Guyzrc00l I did that, I just don't know how to upload it to here now

Answer 36

Oh, there is a attach File on the bottom of the text box where you type. :)

Answer 37

@Guyzrc00l Okay I uploaded it i think you can see it now lol

Answer 38

@Guyzrc00l has aleady posted the correct solution... I'd say a typo.. bu the teacher

Answer 39

I really do think it is a mistake. I use FLVS curriculum too and I noticed a few mistakes also.

Answer 40

@Guyzrc00l So you really think it is a exponent for part C??

Answer 41

What do you think for part D @campbell_st ?

Answer 42

Yes

Answer 43

That's how it usually works.

Answer 44

they all have a term in x^2.... and they could all be factored

Answer 45

Ok, Campbell_st answered for part D.

Answer 46

@Guyzrc00l Do we know what part D is??

Answer 47

@Guyzrc00l Yes, I think they have a common what about you??

Answer 48

Yes, I believe that all of them have a common factor which is x^2.

Answer 49

@Guyzrc00l Okay good I thought it was me. :) do you mind still helping me still :)??

Answer 50

Well, I don't mind but I have to go do my own work now. I'm really sorry. Hope some around from here could help you.

Answer 51

Really sorry.

Answer 52

@Guyzrc00l Okay. Thanks anyway you really did help me

Answer 53

You're welcome. Bye