What is the quotient when #2x^3 + x + 3# is divided by x + 1?
1 Answer
Explanation:
Using synthetic division:
#{: (,,color(brown)(x^3),color(white)("X")color(brown)(x^2),color(white)("X")color(brown)(x^1),color(white)("X")color(brown)(x^0)), (,"|",2,color(white)("X")0,color(white)("X")1,color(white)("X")3), (,"|",,-2,+2,-3), (bar(color(white)("XXX")),,bar(color(white)("XXX")),bar(color(white)("XXX")),bar(color(white)("XXX")),bar(color(white)("XXX"))), (xx (color(red)(-)1),"|",color(blue)(2),color(blue)(-2),color(white)("X")color(blue)(3),color(white)("X")color(green)(0)), (,,color(brown)(x^2),color(white)("X")color(brown)(x^1),color(white)("X")color(brown)(x^0), color(white)("X")color(green)(R)) :}#