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math help question is in comment

Mathematics
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In the equation x^2-13x+30=(x+g)(x+h) G and H are both intergers. There are two possible values for G. what are they im lost on how to do it
you can use the master product rule. the key is to factor the equation. do yu know how to factor?
yea

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so factor it and let's see what you get...
(x−3)(x−10)
so rewrtie your factors so that the operation between x and the integer is addition
rewrite, sorry... do you understand?
im lost
so you have (x-3) and (x-10) as your factors, right?
yea
well, (x-3) = (x+[-3]), correct?
no just (x-3)
remember, subtraction is addition of the opposite. that's actually how subtraction is defined! what is the opposite of 3?
-3
there you go! so is 5-3 the same as 5+(-3)?
but it says tht there are 2 possible factors for G
(g+h)=-13 (g*h)=30
yep... (x+(-3)) and (x+(-10))... does that make sense? a way to check is to see what values of x make the factors equal to 0. with (x-3), what value of x makes the factor 0? with (x +(-3)) what value of x makes the factor 0? is it the same value in both? if so, then the factors must be equivalent.
so G can be either -3 or -10.
ohhh i get it thx
you're welcome

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