carter is solving this equation by solving
10x^2-25x+15=0
Which expression could be one of his correct factors?
A) x+3
B) x-3
C) 2x+3
D)2x-3
plz explain :)

Question

carter is solving this equation by solving
10x^2-25x+15=0
Which expression could be one of his correct factors?
A) x+3
B) x-3
C) 2x+3
D)2x-3
plz explain :)

swissgirl · Answer

Well basically we need to solve the whole thing in order to get the answer
so the first thing we gotta do is factor out a 5
$ 5(2x^2-5x+3) $

swissgirl · Answer

Now we have to factor whats in the bracket

swissgirl · Answer

now do u know how to solve that inner bracket?

swissgirl · Answer

Our equation has the form of $ax^2+bx+c$

swissgirl · Answer

So we need to multiply our a*c
We need to find a number that when you multiply it it equals a*c and when you add it it equals b
a=2   b=-5 and c=3

swissgirl · Answer

Our a*c=6 so what two numbers when you multiply then it gives you 6 and when you add then it gives you -5?

swissgirl · Answer

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