Divide Using Synthetic Division (2x^3-3x^2-5x+4)/(x-2)

Problem

(2*x3−3*x2−5*x+4)/(x−2)

Solution

1. Identify the coefficients of the dividend 2*x3−3*x2−5*x+4 which are 2, -3, -5, 4,a*n*d(t)*h*e*z*e*r*o*o*ƒ*t*h*e*d(i)*v*i*s(o)*r - 2,w*h*i*c*h*i*s() = 2$.

2. Set up the synthetic division by writing 2 to the left and the coefficients in a row.

3. Bring down the first coefficient, 2 to the bottom row.

4. Multiply the divisor 2 by the value in the bottom row 2 to get 4 place it under the next coefficient −3 and add to get 1

5. Multiply the divisor 2 by the new value 1 to get 2 place it under −5 and add to get −3

6. Multiply the divisor 2 by the new value −3 to get −6 place it under 4 and add to get the remainder −2

7. Interpret the resulting coefficients 2, 1, -3a*s(t)*h*e*q*u*o*t*i*e*n*tx^2 + x - 3a*n*d(t)*h*e*r*e*m*a*i*n*d(e)*r2$.

Final Answer

(2*x3−3*x2−5*x+4)/(x−2)=2*x2+x−3−2/(x−2)

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