check my work pleaseee for factoring

Question

anonymous · Answer

attachment

anonymous · Answer

rationals* not factoring

anonymous · Answer

i think it's just your missing parenthesis....

anonymous · Answer

no, i just did it i get the same answer

anonymous · Answer

-2 , -5/7 is the correct answer to $\large 7x^2+19x+10=0 $... so what's the problem?

anonymous · Answer

that's not what im getting
 i just put it there by using the quadratic function on my calc

anonymous · Answer

how are u solving that quadratic?

anonymous · Answer

factoring?

anonymous · Answer

yes

anonymous · Answer

well since 7 is prime you know that has to be the first term in one of the binomials...
(7x +    )(x  +   ) = $\large 7x^2+19x + 10 $
now just play around with the factors of 10 that will give you 19x in the middle term of the trinomial...

anonymous · Answer

14 and 5 are the factors

anonymous · Answer

but what do you do with the coeff ?

anonymous · Answer

14 is not a factor of 10

anonymous · Answer

can you list all the factors of 10 for me?

anonymous · Answer

it's -2

anonymous · Answer

-2 will give you zero

anonymous · Answer

is that an answer to one of my questions?

anonymous · Answer

which one?

anonymous · Answer

what what are you asking me, im confused

anonymous · Answer

you need to figure out what goes in the  ???:  (7x +  ???)(x  +  ??) = $\large 7x^2+19x+10 $
and i said you need to play around with the factors of 10....
my question is... what are the factors of 10?

anonymous · Answer

1,2,5,10

anonymous · Answer

ok... good... can we agree that 1 and 10 will not work here?

anonymous · Answer

nope

anonymous · Answer

no, we cannot agree... or no, it won't work?

anonymous · Answer

no 1 and 10 wont work

anonymous · Answer

ok... it's the 2 and 5 we're concerned with...

which gives a correct expansion (first or second one?):

(7x + 2)(x + 5)     or      (7x + 5)(x + 2)

of $\large 7x^2+19x+10 $  ???

anonymous · Answer

(7x + 5)(x + 2)

anonymous · Answer

ok....
there's your factorization....

anonymous · Answer

thankyouu so very much !

anonymous · Answer

yw...:)

anonymous · Answer

since you already knew your answer (from your calculator), you could actually work backwards to get your factorization:

since you know -2 was a solution, then (x + 2) has to be a factor...
do that with the other solution you'll get (7x + 5)....

anonymous · Answer

ohhh ! yeah i didnt think of that, that would have been much easier

anonymous · Answer

i didn't wanna say anything because i'm a masochist!

anonymous · Answer

...:)

anonymous · Answer

hahaha !