How do you divide ( x^4-2x^3-8x+16 )/(4x-6)?

1 Answer
Barney V.
Nov 30, 2017

1/4x^3-1/8x^2-3/16x-2 9/32and remainder of 29 11/16

Explanation:

(x^4-2x^3-8x+16)/(4x-6)

color(white)(..........)color(white)(.)1/4x^3-1/8x^2-3/16x-2 9/32
4x-6|overline(x^4-2x^3+0x-8x+16)
color(white)(.............)ul(x^4-3/2x^3)
color(white)(................)-1/2x^3+0x
color(white)(..................)ul(-1/2x^3+3/4x^2)
color(white)(...........................)-3/4x^2-8x
color(white)(............................)ul(-3/4x^2+9/8x)
color(white)(....................................)-73/8x+16
color(white)(.....................................)ul(-73/8x-438/32)
color(white)(....................................................)950/32=29 11/16

(x^4-2x^3-8x+16) / (4x-6) =1/ 4x^3-1/8x^2-3/16x-2 9/32and remainder of29 11/16

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