How do you find the quotient #x^2-2x-30div x+7# using long division?

1 Answer
Jan 27, 2018

#(x^2-2x-30)-: (x+7) = x-9+33/(x+7)#

Explanation:

Long division of polynomials is similar to long division of numbers...

#color(white)(x+7 " )")underline(" " x^(color(white)(2)) -9color(white)(000000))#
#x+7 " )" " " x^2-2x-30#
#color(white)(x+7 " )" " ") underline(x^2+7x)#
#color(white)(x+7 " )" " " x^2 ) -9x-30#
#color(white)(x+7 " )" " " x^2 ) -9x-63#
#color(white)(x+7 " )" " " x^2 ) bar(color(white)(-9x+.)33color(white)(0))#