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OpenStudy (anonymous):
foil this (x-2)(3x²-x+4)
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jimthompson5910 (jim_thompson5910):
\[\large (x-2)(3x^2-x+4)\] \[\large x(3x^2-x+4)-2(3x^2-x+4)\] \[\large (x)(3x^2)+(x)(-x)+(x)(4)+(-2)(3x^2)+(-2)(-x)+(-2)(4)\] \[\large 3x^3-x^2+4x-6x^2+2x-8\] \[\large 3x^3-7x^2+6x-8\] So \[\large (x-2)(3x^2-x+4)=3x^3-7x^2+6x-8\]
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