How do you divide #(8x ^ { 2} + 57x + 48) \div ( x + 6)#?
1 Answer
Jan 11, 2018
Explanation:
#"one way is to use the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(8x)(x+6)color(magenta)(-48x)+57x+48#
#=color(red)(8x)(x+6)color(red)(+9)(x+6)color(magenta)(-54)+48#
#=color(red)(8x)(x+6)color(red)(+9)(x+6)-6#
#"quotient "=color(red)(8x+9)," remainder "=-6#
#rArr(8x^2+57x+48)/(x+6)=8x+9-6/(x+6)#
