How do you divide #(2x^3-x+1)div(x^2+x+1)# using synthetic division?

1 Answer
Jan 17, 2018

Answer:

#color(blue)((2x^3 - x +1)/(x^2+x+1) = 2x -2 + (-x+3)/(x^2+x+1))#

Explanation:

Synthetic Division is used to divide polynomials by binomials of the form #color(green)((x-a)#

Polynomial Long Division Method is used to divide polynomials by other polynomials

Hence, Polynomial Long Division Method is used to provide a solution for the given problem.

We will now perform the Polynomial Long Division using

enter image source here

Hence, the Quotient = #2x - 2#

Remainder = #(-x+3)#

Hence, the Result of our Long Polynomial Division is

#color(blue)(2x -2 + (-x+3)/(x^2+x+1)#

Hope you find this solution useful.