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

Divide. 5x^4 + x^3 - 13x^2 - 2x -37 / x - 2-example-1

1 Answer

6 votes

Given:

The objective is to divide the polynomial equations.


(5x^4+x^3-13x^2-2x-37)/(x-2)

Step-by-step 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.

Divide. 5x^4 + x^3 - 13x^2 - 2x -37 / x - 2-example-1
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