Question

Can someone help me with a question for a fan and medal?

Answer 1

Some steps to rewrite the expression x3 - 16x + x2 - 16 as a product of three factors are shown below:

Step 1: x3 - 16x + x2 - 16
Step 2: x3 + x2 - 16x - 16
Step 3: x2(x + 1) - 16(x + 1)

Which of the following best shows the next two steps to rewrite the expression?

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 - 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)

Answer 2

it should be the third option because...

Answer 3

Step 3: x2(x + 1) - 16(x + 1)
we would take the terms on the outside and put them in a set of parenthesis so...
(x2-16)
then we notice the one on the side is (x+1) and its the same twice so we rewrite it one time therefore step 4 would look like (x2-16)(x+1).....

Next for step 5 we need to factor out the perfect square binomial (x2-16) to turn it into (x+4) and (x-4).... this is because there is a specific rule for that... the whole step 5 looks like (x - 4)(x + 4)(x + 1)

Answer 4

i hope that makes sense!! :D :))

Answer 5

Alright, thank you for you're help! I understand now. It does make sense, thank you again. Now here is your medal and fan as promised.

Answer 6

aw thank you much!

Answer 7

What I don't understand is when I first posted this question, some dude came in the thread just to give me a medal and then left :/ The thing is I'm fine with a medal as long as I get help!

Answer 8

haha yeah I was wondering where that medal came from :D

Answer 9

Well, now you know. Thanks again for the help. I will tag you in another question if your online when I need the help then.

Answer 10

alright, i'll try ;)

Answer 11

Thank you!