Question

Divide (2x^4 - 5x^3 + 3x^2 - x + 3) by (x + 4).
Use Synthetic Or Long Division

Answer 1

`\bf 2x^4-5x^3+3x^2-x+3/ x+4 \\\\\\ x+4=0\implies x=-4\qquad \textit{therefore we'll use -4 in the division} \\\\\\ \begin{array}r -4&&2&-5&3&-1&3\\ &&&-8&52&-220&884\\ &&--&--&--&--&--\\ &&2&-13&55&-221&\boxed{887}&\leftarrow remainder \end{array}\\\\ -------------------------------\\\\ 2x^3-13x^2+55x-221+(887)/(x+4)`