How do you divide (2x^2+8x+16) / (x-4) ?
1 Answer
Jun 23, 2018
Explanation:
"one way is to use the divisor as a factor in the numerator"
"consider the numerator"
color(red)(2x)(x-4)color(magenta)(+8x)+8x+16
=color(red)(2x)(x-4)color(red)(+16)(x-4)color(magenta)(+64)+16
=color(red)(2x)(x-4)color(red)(+16)(x-4)+80
"quotient "=color(red)(2x+16)," remainder "=80
(2x^2+8x+16)/(x-4)=2x+16+80/(x-4)
