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y=x^3-5x^2-x+5 determine excluded regions.
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I really just need help grouping.
i only get confused by the constant term .. else I would just pull out x
\[y=x ^{3}-5x ^{2}-x+5\]
Are u trying to factor it
yes
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take x-1 common
y=x^3-5x^2-x+5 =x^3-x^2-4x^2+4x-5x+5 =x^2(x-1)-4x(x-1)-5(x-1)
Now, can u do it from here.
\[y=x ^{2}(x-5)-x+5\]
Yes that also works
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hmm, how would i group the 2nd term -x+5? or do i not need to do anything there?
y=x^2(x-5)-1(x-5)
\[y=x ^{2}(x-5)+(x-5)\]?
ahh so not pull out anything.. just group x-5
\[(x ^{2}-1)(x-5)= (x-1)(x+1)(x-5)\]?
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Yes very correct
woo awesome. thanks for your help, very much appreciated.
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