Divide the following polynomials using the long division model (4x ^ 4 - 5x ^ 3 + 2x ^ 2 - x + 5) + (x ^ 2 + x + 1) How many times does x ^ 2 into the largest term in the problem?

Write this value on top of the problem and multiply that value by x ^ 2 + x + 1

Write that product below the lowest line on your work and subtract it from what remains in the problem.

Continue this process until you can no longer divide x ^ 2 into what remains in the problem

include your remainder in the final answer