Use synthetic division to evaluate f(x)=x^3-2x^2+4x+3 for x=2 . f(2)=
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Step-by-step explanation:

Your problem is equivalent to

(x3 - 3x2  + x - 4)/(x-2)

The coefficients of the numerator    are 1, -3, 1, -4.

The solution is as follows:

2 | 1  -3   1  -4    Set up the coefficients in decreasing power of x, and 2 is the divisor.

            2  -2  -2

    1  -1  -1  -6

Here are the steps:

(a) Bring down the leading coefficient of 1.

(b) 2*1=2. Add -3 and 2 to obtain -1.

(c) 2*-1=-2. Add 1 and -2 to obtain -1.

(d) -1*2=-2. Add -2 and -4 to obtain -6

The quotient has the coefficients 1,-1,-1 so it is x2 - x  - 1. The remainder is -6.

Answer :

The result is x2  - x - 1  - 6/(x-2).

You can verify that the answer is correct, because

(x-2)*(x2 - x - 1) - 6 = x3 - 3x2  + x - 4

Hope this helps you

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step-by-step explanation:

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