How do you divide 3x^3+5x^2+2x-12 by x+3?
2 Answers
Explanation:
Let
Using long division of polynomial's
Where,
Explanation:
"one way is to use the divisor as a factor in the numerator"
"consider the numerator"
color(red)(3x^2)(x+3)color(magenta)(-9x^2)+5x^2+2x-12
=color(red)(3x^2)(x+3)color(red)(-4x)(x+3)color(magenta)(+12x)+2x-12
=color(red)(3x^2)(x+3)color(red)(-4x)(x+3)color(red)(+14)(x+3)color(magenta)(-42)-12
=color(red)(3x^2)(x+3)color(red)(-4x)(x+3)color(red)(+14)(x+3)-54
"quotient "=color(red)(3x^2-4x+14)," remainder "=-54
rArr3x^3+5x^2+2x-12
=3x^2-4x+14-54/(x+3)