What is the remainder from the following: F(x) = 2x^4 - 3x^3 - 5x^2 + 3x + 8 divided by x - 2 ?

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There are a few methods to solve this but synthetic division is probably the best and, once you have learnt the method, it can be applied for all calculations of this nature.

There are some important things you need to remember:

A co-efficient is the number you see in front of the x. If you have `x^2` for example, the co-efficient is 1.  

The equation or expression must be in the standard form which means it must be in sequence - decreasing powers of x - (`x^4 x^3 x^2)` and so on.

The factor is the divisor - in this case (x - 2), which means that x=2 and you will use the value '2' to solve.

The first factor...

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