Question

4x^2-10x-6

Answer 1

do you want to solve the quadratic equation:
\[4x^{2}-10x-6=0\]
or what?

Answer 2

I need to factor it.

Answer 3

ok then...lets see
\[4x^{2}-10x-6=0\]
can you write the term -10x as the sum/difference of two terms whose product is:
\[(-6)(4x^{2})=-24x^{2}\]?

Answer 4

-12x +2 ?

Answer 5

*-12x + 2x

Answer 6

yea right

Answer 7

so we can write \[4x^{2}-10x-6=4x^{2}-12x+2x-6\]
right?

Answer 8

Yep

Answer 9

now do you see some common factor between first two terms?between
\[4x^{2} and 12x\]

Answer 10

2

Answer 11

4

Answer 12

anything more?greatest common factor?

Answer 13

1,2, and 4 are the only things that go into 4

Answer 14

Hint: \[4x^{2}=4*x*x\]
and \[12x=4*3*x\]
they have 4x common factor..don't they?

Answer 15

yes

Answer 16

similarly...what is the greatest common factor between \[2x \] and 6?

Answer 17

@staldk3 it can be solved by factorization and quadratic formula also.

Answer 18

2

Answer 19

Since 2 has an x and 6 doesn't.

Answer 20

yea right..can we right
\[4x^{2}-12x+2x-6=4x[x-3]+2[x-3]\]
?

Answer 21

write*

Answer 22

Yes.

Answer 23

What about 2(2x+1) (x-3) ?

Answer 24

yea that's it

Answer 25

4x^2-10x-6
4x^2-4x-6x-6=0
4x(x-1)-6(x-1)=0
(4x-6)(x-1)=0
(4x-6)=0 , (x-1)=0
4x=6 , x=1
x=6/4 ,
x=3/2 ,

Answer 26

@Imtiaz7 how can you write \[-10x\] as \[ -6x-4x \] while the product of -6x and -4x isn't
\[-24x^{2}\]?

Answer 27

Moreover..Please help the user find the answer..don't give the whole solution, start with a few hints, that'd be more appreciated.

Answer 28

@stgreen it is a rule in factorization that (not write just consider) multiply the first number(4) to last (6) then it become 24
now second point is take two numbers between last and first number which is the sum of middle number and if we multiply it then it become 24

Answer 29

you forgot to consider signs

Answer 30

yes you are right @stgreen

Answer 31

um... 2(2x +1) (x-3) was the final answer right?

Answer 32

yup

Answer 33

thanks for the help