Question

Find the quotient and remainder of (2x^3-x+1) if divided by (x+5) Thank you!

Answer 1

Answer:

$\boxed{\text{Quotient = } 2x^{2} - 10x + 49; \text{remainder = } -244}$

Step-by-step explanation:

Perhaps the best way to solve this problem is to use synthetic division.

$\begin{array}{rrrrr}-5| & 2 & 0 & -1 & 1\\|& & -10 & 50 & -245\\& 2 & -10 & 4 & -244\\\end{array}$

Thus,

$\frac{x^{3} - x + 1 }{x + 5} = 2x^{2} - 10x + 49 - \frac{ 244}{x + 5 }$

The quotient is $\boxed{ 2x^{2} - 10x + 49}$ with a remainder of $\boxed{-244}$.