How do you divide #(10p + 110) \div ( p + 9)#?

1 Answer
Sridhar V.
Feb 4, 2018

#color(blue)([10p+110]/[p+9] = 10 + 20/[p+9]#

Explanation:

Given:

#color(blue)([10p+110]/[p+9]#

We need to divide using polynomial long division method.

#" 10"" "Quotient#
#" --------------------"#
#"p + 9 "|" " cancel (10p) + 110#
#"p + 9 "|" " cancel (10p) + 90" "# Subtract
#" --------------------"#
#" "20# Remainder

Hence, our final solution can be written using the format:

Dividend / Divisor = Quotient + (Remainder / Divisor)

#color(blue)([10p+110]/[p+9] = 10 + 20/[p+9]#

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