Question

how do you factor 3x^2 -7x + 2 (algebra 1)

Answer 1

do you can solve this quadratic equation ?

Answer 2

im just confused bc the teacher said to do a*c which in this case is 6 and when you factor out positive 6, idk how you make that equal -7

Answer 3

can you post here your work please ?

Answer 4

yes one second

Answer 5

3x^2 = 2x^2 +x^2
-7x = -6x -x
2 = 1 +1

just like an idea

Answer 6

ok i wait please post it

Answer 7

3x^2 - 7x +2

A-term: 3x^2
B-term:-7x
C-term: +2

Split term into 2:
a*c
3*2=6
Factor out 6: 1*6, 2*3, -1*-6, -2*-3
Must equal the b-term- -7
-1+-6=-7
Now, 3x^2 -x -6x +2

(3x^2-x)(-6x+2)
Find what they have in common:

Answer 8

and this is where im confused

Answer 9

Must equal the b-term- -7
-1+-6=-7

-1 +6 not equal -7

Answer 10

its supposed to say -6

Answer 11

ohh yes i see it now

Answer 12

(3x^2-x)(-6x+2)
Find what they have in common:

after this so this is so easy

3x^2 -x what are common factors ?

Answer 13

x?

Answer 14

yes sure this is easy - courage please i m here to help you
so that you factoriz out the x what you get ?

Answer 15

so you would have x and what's left is -1,3,and another x
so it would be x(x-3) ?

Answer 16

no

than you multiplie back the x(x-3) = ?

Answer 17

she didn't tell us to do that, she said to pull out what they have in common, in this case "x" and then in () put what's left, then do the same thing for the other group and she said the final answer is written like this

(this is from one we did yesterday): (y+15)(y-2)

so i'm not quite sure what you're asking here, sorry.

Answer 18

yes sure i understand but what you made above not is correct factorized out

x(x-3) not equal 3x^2 -x

Answer 19

so then how do you make it correct?

Answer 20

how you factoriz out the x from 3x^2 -x ?

3x^2 = 3x*x
-x = -1*x

yes ?

so when you factoriz out an x from these terms what will remain there ?

Answer 21

im confused....

Answer 22

no this is easy

3x^2 -x = 3x*x -1*x = x(?)

from these terms of 3x*x and -1*x than you factoriz out the x what will remain there ?

Answer 23

dont understand ? please

Answer 24

your wording is confusing me, sorry. if i factor the x, idk what it does to the equation. i'm still confused

Answer 25

i will try explain it to you
3x^2 -x = 3x*x -1*x = x(?)

looke please from 3x*x than you factoriz out an x remain there 3x
yes ?
and from -1*x when you factoriz out an x remain there an -1

yes

so all together

3x^2 -x = x(what ? )

Answer 26

uhm, would it be -3x ? because in the other ones you took away the one x right? and then you had 3x and -1 left so i'm assuming you put those together? i have no idea

Answer 27

yes so 3x^2 -x = x(3x-1)

ok ?

Answer 28

and now the second one

(3x^2-x)(-6x+2)

Answer 29

what do i do here?

Answer 30

you need factoriz out the common factor

Answer 31

-6x +2 =

what is common factor there ?

Answer 32

2

Answer 33

yes so factoriz it out please

Answer 34

so, we would have 2 and left over is x-3 so i have 2(x-3) ?

Answer 35

2(x-3) = 2x -6

this is what was there above ?

Answer 36

there is -6x +2

yes ?

Answer 37

yeah i think

Answer 38

so and now how will be correct ?

Answer 39

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
-6x = -2*3x
and 2 = -2*(-1)
what is common factor there ?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 40

-2?

Answer 41

yes sure from these -2*3x and -2*(-1) you can factorize out the -2 and what will get ?

Answer 42

-6x+2 = -2*3x -2(-1) = -2(?)

Answer 43

from -2*3x than you factorize out the -2 what remain ?

Answer 44

and so too than you factorize out the -2 from -2(-1) what remain ?

Answer 45

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
from -2*3x than you factorize out the -2 what remain ?
\(\color{#0cbb34}{\text{End of Quote}}\)
3x?

Answer 46

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
and so too than you factorize out the -2 from -2(-1) what remain ?
\(\color{#0cbb34}{\text{End of Quote}}\)
-1? or do i multiply them

Answer 47

yes

Answer 48

and now all together

-6x+2 = -2*3x -2(-1) = -2(?)

Answer 49

well, if i take out the -2's, you have 3x(-1)
so does that mean -3x?

Answer 50

no

because there is between -3x and -1 an minus not multiplication so will be -2(3x-1)

Answer 51

oh ok. so it's 3x-1 then, is that what you're saying?

Answer 52

yes - so now we go back there up and you need writing all together what we have got

Answer 53

do you remember on ?

Answer 54

i had to go reread it, sorry. u, so i got (3x-1)(x-2)
is that right?

Answer 55

uh* not u

Answer 56

yes this is right but do you understand now the way ?

Answer 57

hope was helpfully

have a nice day

bye bye