How do you simplify #(2x ^ { 3} - 9x + 4) \div ( x - 5)#?

1 Answer
Barney V.
Jun 3, 2017

#color(blue)((2x^3-9x+4) / (x-5) = 2x^2+10x+41# and remainder of #color(blue)201#

Explanation:

#(2x^3-9x+4)-:(x-5)?#

#color(white)(.......)color(white)(..)ul(color(blue)(2x^2+10x+41)#
#x-5|2x^3+0-9x+4#
#color(white)(..........)ul(2x^3-10x^2)#
#color(white)(.....................)10x^2-9x#
#color(white)(.....................)ul(10x^2-50x)#
#color(white)(.................................)41x+4#
#color(white)(.................................)ul(41x-205)#
#color(white)(................................................)201#

#color(blue)((2x^3-9x+4) / (x-5) = 2x^2+10x+41# and remainder of #color(blue)201#

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