Question

Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (3 points)

Part B: Factor x2 + 8x + 16. Show your work. (3 points)

Part C: Factor x2 - 16. 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)

Answer 1

@phi

Answer 2

@sourwing

Answer 3

@Microrobot

Answer 4

@leticia_9878

Answer 5

Ok

Answer 6

B. (x+4)(x+4)

Answer 7

umm could you show me step please @Microrobot

Answer 8

A. (x+4)(x+2) y^2

Answer 9

I will

Answer 10

So for B

Answer 11

x^2 + 8x + 16

Answer 12

You need to pay attention to the signs, since they are all plus signs you know your answer must have x+ on in both parenthesis

Answer 13

So you always look at the the third digit the one with out the variable which is 16

Answer 14

So from there you find factors of 16

Answer 15

So you get 1*16=16 2*8=16 4*4=16

Answer 16

As a possible factor, next you look at the second digit in your case is 8x

Answer 17

Remember the second digit is the one that when you add your two numbers you get the exact answer

Answer 18

1*16=16 2*8=16 4*4=16 was our factors of 16. 4+4=8

Answer 19

So you know on the spot that it has to be 4, and 4

Answer 20

and since the trinomial x^2 + 8x + 16 is completely positive

Answer 21

so that would all be for part b thanks

Answer 22

(x+4)(x+4) is the answer

Answer 23

To test use the FOIL method

Answer 24

No problem

Answer 25

For C x^2 - 16 this is going to be (x-4)(x+4)

Answer 26

any steps please?

Answer 27

Of course

Answer 28

So this problem is known as a

Answer 29

for part c?

Answer 30

Perfect square

Answer 31

Yeah

Answer 32

So for your problem you can tell became it's always going to be the same number. For example x^2-64

Answer 33

8*8=64

Answer 34

So the rules with these you open two paranthesis with the number as a positive and a negative

Answer 35

So it would be (x-8)(x+8)

Answer 36

for what part?

Answer 37

ohh part c?

Answer 38

It was an example for. C. It will be. (x-4)(x+4)

Answer 39

oh kinda need steops but that's ok. could you help with part D?

Answer 40

With D

Answer 41

I'm going with yes, because the common factor had to work in the entire equation. When you get your common factor you are able to test it through the foil method and from there you will return back to the original equation.

Answer 42

ALSO CAN I ASK FOR STEP FOR PART A.)

Answer 43

This common factor is a number that is followed by a variable which would be x

Answer 44

Sure

Answer 45

Factor x^2y^2 + 6xy^2 + 8y^2.

Answer 46

You need to find a common factor which is y^2

Answer 47

So you get from there y^2(x^2+6x+8)

Answer 48

You get the factor for x^2+6x+8

Answer 49

Which gets you y^2(x+4)(x+2)

Answer 50

And that's basically it

Answer 51

@Microbot, that is amazing...I'm surprised that you only have a 59 as your smart score...You're like a Genius.

Answer 52

@Micorobot How did you get y^2(x+4)(x+2)

Answer 53

glovemanJR..why don't you stop cheating on your final exam for FLVS