How do you divide ( -3x^3+ 15x^2-x-2)/(x + 1 )?
1 Answer
Jun 19, 2017
Explanation:
"one way is to use the divisor as a factor in the numerator"
"consider the numerator"
color(red)(-3x^2)(x+1)color(magenta)(+3x^2)+15x^2-x-2
=color(red)(-3x^2)(x+1)color(red)(+18x)(x+1)color(magenta)(-18x)-x-2
=color(red)(-3x^2)(x+1)color(red)(+18x)(x+1)color(red)(-19)(x+1)color(magenta)(+19)-2
rArr(-3x^3+15x^2-x-2)/(x+1)
=(cancel((x+1))(color(red)(-3x^2+18x-19)))/cancel((x+1))+17/(x+1)
=-3x^2+18x-19+17/(x+1)
