Respuesta :

The  synthetic division solution of  (4x² + 3x³ + 9x− -20) /  (x + 2)​ is mathematically given as

3x^2-2x+13-(6/x+2)

This is further explained below.

What is synthetic division?

Generally, Synthetic division is a technique that may be used to manually conduct Euclidean division of polynomials.

Compared to long division, the synthetic division requires less writing and fewer calculations to complete. The approach is most often taught for dividing by linear monic polynomials; however, it may be extended to divide by any polynomial.

In conclusion, The  synthetic division solution is mathematically given as

3x^2-2x+13-(6/x+2)

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