Question

Divide. 5x^4 + x^3 - 13x^2 - 2x -37 / x - 2

Answer 1

Given:

The objective is to divide the polynomial equations.

$\frac{5x^4+x^3-13x^2-2x-37}{x-2}$

Explanation:

Let's use the synthetic division method to find the quotient and the remainder.

The divisor can be solved as,

$\begin{gathered} x-2=0 \\ x=2 \end{gathered}$

Division:

The division can be performed as,

Hence,

The quotient of the division is 5x³+11x²+9x+16 and the remainder is -5.