#shouldnt the 18 be -18 because if u do -1 x 18 you get -18 or am i missing out on something

16 messages · Page 1 of 1 (latest)

swift oasis
empty galeBOT
jolly notch
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I dont know what weird vooodoo your teacher is trying to teach you

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But when you expand (x+1)(-x+19) do you find -x^2+18x+19?

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If yes then the factorization is correct

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If you dont know how the factorization was found, I think it may be time to discuss the "method" to find it

swift oasis
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where the horner thingy is

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is the 18 supposed to be a -18

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because thats where my confusion lies

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cause if you have 18.(-1) - (-1)^2 + 19 you get -18 -1 +19 and not +18 -1 +19

jolly notch
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$(x-a)(x-b) = x^2 - bx - ax + ab = x^2 - (a+b)x + ab$

radiant hullBOT
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Daddy_314

jolly notch
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In your case
$-(x^2-18x-19)$

Factor $x^2-18x+19$
The product of the roots is -19 and their sum is 18

The only options are a = -1
And b = 19

So $x^2-18x+19 = (x-(-1))(x-19)$

Therefore $-(x^2-18x+19) = -(x+1)(x-19) = (x+1)(-x+19)$

radiant hullBOT
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Daddy_314

jolly notch
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I think what is confusing you is the leading minus sign