What is the remainder if we divide 6x3 + x2 – 2x + 4 by x-2 ?

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Remainder Theorem is a technique of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn't essentially an element of the polynomial; you will find a smaller polynomial along with a remainder.


What is the remainder if we divide 6x<sup>3</sup> + x<sup>2</sup> – 2x + 4 by x-2 ?