How do you divide (4x^3 -12x^2+5x+3)/((x +3) )4x3−12x2+5x+3(x+3)?
2 Answers
Explanation:
polynomial long division - yay!
Explanation:
"one way is to use the divisor as a factor in the numerator"one way is to use the divisor as a factor in the numerator
"consider the numerator"consider the numerator
color(red)(4x^2)(x+3)color(magenta)(-12x^2)-12x^2+5x+34x2(x+3)−12x2−12x2+5x+3
=color(red)(4x^2)(x+3)color(red)(-24x)(x+3)color(magenta)(+72x)+5x+3=4x2(x+3)−24x(x+3)+72x+5x+3
=color(red)(4x^2)(x+3)color(red)(-24x)(x+3)color(red)(+77)(x+3)color(magenta)(-231)+3=4x2(x+3)−24x(x+3)+77(x+3)−231+3
=color(red)(4x^2)(x+3)color(red)(-24x)(x+3)color(red)(+77)(x+3)-228=4x2(x+3)−24x(x+3)+77(x+3)−228
"quotient "=color(red)(4x^2-24x+77)," remainder "=-228quotient =4x2−24x+77, remainder =−228
rArr(4x^3-12x^2+5x+3)/(x+3)⇒4x3−12x2+5x+3x+3
=4x^2-24x+77-228/(x+3)=4x2−24x+77−228x+3
