Polynomials

2501. Divide the polynomial f(x), with a remainder, by the polynomial g(x):

f ( x ) = 2 x 4 − 3 x 2 + 4 x 2 − 5 x + 6 ,                       g ( x ) = x 2 − 3 x + 1 ; https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203756454/84bc859e-388a-4821-81f7-7fb447dc7024/content/eq645.tif"/>

f ( x ) = x 3 − 3 x 2 − x − 1 ,                     g ( x ) = 3 x 2 − 2 x + 1. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203756454/84bc859e-388a-4821-81f7-7fb447dc7024/content/eq646.tif"/>