What is the quotient when #(x+3)# is divided into the polynomial #2x^2+3x-9#?

1 Answer
Tony B
May 20, 2018

#2x-3#

Explanation:

Note that the quotient excludes the remainder.

#color(white)("dddddddddddd")2x^2+3x-9#
#color(white)("d")color(magenta)(2x)(x+3)->color(white)(".")ul( 2x^2+6x larr" Subtract")#
#color(white)("ddddddddddddd")0color(white)("d")-3x-9#
#color(magenta)(-3)(x+3)->color(white)("dddd.")ul(-3x-9larr" Subtract")#
#color(white)("ddddddddddddddddd")"no remainder"#

#(2x^2+3x-9)-:(x+3) = color(magenta)(2x-3)#

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