Question

factor x^2+2x+1-x^4

Answer 1

First, place the terms in the order from highest to lowest power

Answer 2

-x^4+x^2+2x+1

Answer 3

OK, what happens if you input x = 1?

Answer 4

1x^4+1^2+2x+1

Answer 5

1x^4+1x^2+2x+1

Answer 6

I'm sorry, I made a mistake, setting 1 doesn't help...
Are you sure you got this expression right?

Answer 7

i got (x^2+1)(x^2-1)

Answer 8

That expands to x^4-1

Answer 9

yea

Answer 10

my answer is wrong

Answer 11

Oh, now I see it: Take the first three terms together and factor:\[(x^2+2x+1)-x^4=(x+1)^2-x^4\]Now there is one step to go!

Answer 12

i'm lost sorry?

Answer 13

Do you understand my last answer?

Answer 14

thats the answer?

Answer 15

(x+1)^2-x^4

Answer 16

No, it is an intermediate step. I took only the first three terms: x^2+2x+1 and factored these to (x+1)^2.
So you've got (x+1)^2 - x^4.
YOucan see that this is of the form a^2 - b^2, which can be factored to (a+b)(a-b)

Answer 17

so (x+4)(x-4)?

Answer 18

i'm sorry these factor out stuff has me so lost i have no clue how I passed my test. these are just home work problem

Answer 19

No:\[(x+1)^2-x^4=(x+1+x^2)(x+1-x^2)\]
In my explanation of a^2-b^2=(a+b)(a-b) you can set a = x+1 and b = x^2

Answer 20

it worked thanks a lot for ur help

Answer 21

yw

Answer 22

Liked the question, because it was different from what I thought at first.
Had to think about it...
I hope your homework is going well!