How do you simplify #(5x ^ { 2} + 38x + 20) \div ( x + 7)#?
1 Answer
Dec 15, 2017
Explanation:
#"one way to do the division is to use the divisor as a "#
#"factor in the numerator"#
#"consider the numerator"#
#color(red)(5x)(x+7)color(magenta)(-35x)+38x+20#
#=color(red)(5x)(x+7)color(red)(+3)(x+7)color(magenta)(-21)+20#
#=color(red)(5x)(x+7)color(red)(+3)(x+5)-1#
#"quotient "=color(red)(5x+3)," remainder "=-1#
#rArr(5x^2+38x+20)/(x+7)=5x+3-1/(x+7)#
