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Mathematics 15 Online
OpenStudy (anonymous):

Factor -x^2+3x+40

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so what adds up to 3 that when multiplied equals 40?

OpenStudy (anonymous):

the factors can be negative

OpenStudy (anonymous):

2?

OpenStudy (anonymous):

think of factors of 40

OpenStudy (anonymous):

so, 2,4,5, 8, 10, 20, and so on

OpenStudy (anonymous):

so where do you see a gap of 3 in the factors I just showed you?

OpenStudy (anonymous):

I don't get it at all.

OpenStudy (anonymous):

so the numbers I typed were factors of 40, right?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

how many numbers are from 5-8? 3, right?

OpenStudy (anonymous):

5-6, 6-7, and 7-8, so 3.

OpenStudy (anonymous):

once you know the two factors, it's easy. All you have to do is plug it in.

OpenStudy (anonymous):

so(-x+___)(x+___)

OpenStudy (anonymous):

so just insert and if you need to check, just FOIL

OpenStudy (anonymous):

therefore the answer is (-x +8)(x+5)

OpenStudy (anonymous):

-x^2+8x-5x+40 -x(x-8)-5(x-8) (-x-5)(x-8) -(x+5)(x-8)

OpenStudy (anonymous):

you could do it that way too.

OpenStudy (anonymous):

got it em ???

OpenStudy (anonymous):

thankyou

OpenStudy (anonymous):

np =) its all about finding the right factors then plugging them in

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