Question

Some steps to rewrite the expression x3 - 9x + x2 - 9 as a product of three factors are shown below:

Step 1: x3 - 9x + x2 - 9
Step 2: x3 + x2 - 9x - 9
Step 3: x2(x + 1) - 9(x + 1)

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

Step 4: (x2 + 9)(x + 1); Step 5: (x + 3)(x + 3)(x + 1)
Step 4: (x2 - 9)(x + 1); Step 5: (x + 3)(x + 3)(x + 1)
Step 4: (x2 + 9)(x + 1); Step 5: (x - 3)(x + 3)(x + 1)
Step 4: (x2 - 9)(x + 1); Step 5: (x - 3)(x + 3)(x + 1)

Answer 1

@chrissyC. @cookielate @ooxBRITTANYxoo

Answer 2

anyone?

Answer 3

oh my

Answer 4

i have nooooo clue

Answer 5

Ok well when you originally solve an expression how would you do it?

Answer 6

let me try to do it okay just give me a few minutes okay

Answer 7

Yea i think i'll leave this one to cookie

Answer 8

lol me too

Answer 9

>-<

Answer 10

do you have to answer one or write it for each step

Answer 11

okay here is an example

Answer 12

Step by step solution :
Step 1 :

Simplify x3+x2-4x - 4

Checking for a perfect cube :

1.1 x3+x2-4x-4 is not a perfect cube
Trying to factor by pulling out :

1.2 Factoring: x3+x2-4x-4

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x3+x2
Group 2: -4x-4

Pull out from each group separately :

Group 1: (x+1) • (x2)
Group 2: (x+1) • (-4)
-------------------
Add up the two groups :
(x+1) • (x^2-4)
Which is the desired factorization
Trying to factor as a Difference of Squares :

Factoring: x^2-4

Theory : A difference of two perfect squares, A2−B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2−AB+BA−B62 =
A2−AB+AB−B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2
Check : x2 is the square of x1

Factorization is : (x + 2) • (x - 2)
Final result :

(x+2)∙(x−2)∙(x+1)

Answer 13

ok sorry cookie but im still lost

Answer 14

@starlord6200 are you suppose to pick an answer or solve each ?

Answer 15

need help here?

Answer 16

i gave him an example but he doesn't get it

Answer 17

just give him the answer

Answer 18

yes please and its multiple choice

Answer 19

its not solving

Answer 20

can u give me a minute @starlord6200 sorry if im taking long okay sorry :(

Answer 21

its fine

Answer 22

are you till working on this pellet?

Answer 23

it not step 3

Answer 24

its step 1

Answer 25

for the first question

Answer 26

no u have to figure out step 4 and 5

Answer 27

for step 4 : (x2 + 9)(x + 1)

Answer 28

step 5 (x + 3)(x + 3)(x + 1