How do you divide #(5x^2+12x-9) / (x^2+3x-10) # using polynomial long division?

1 Answer
Tony B
Aug 23, 2017

# 5color(white)(.) -color(white)(.) (3x-41)/(x^2+3x-10)#

Explanation:

Given: #(color(blue)(5x^2+12x-9))/(color(green)(x^2_3x-10))#

#color(white)("cmmmmmmmmmmm")color(blue)(5x^2+12x-9)#
#color(red)(5)color(green)((x^2+3x-10)) ->color(white)(.,) ul(5x^2+15x-50) larr "Subtract"#
#color(white)("bbbbbbbbbbbbbbbbbbbb") color(red)(0 -3x+41)larr" Remainder"#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#(5x^2+12x-9)/(x^2_3x-10)color(white)(.) = color(white)(.) 5 -(3x-41)/(x^2+3x-10)#

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