Synthetic Division of Polynomials – Definition, Steps and Examples

# Synthetic Division of Polynomials – Definition, Steps and Examples

## Synthetic Division Steps (synthetic division method of polynomials)-

The synthetic division method of polynomials is a way of dividing one polynomial by another to find the quotient and the remainder. It uses the same principles as long division, but it is a shorter and easier process.

To divide a polynomial by another using synthetic division, you first need to write the division symbol (÷) and the dividend (the polynomial that is being divided) above the divisor (the polynomial that is doing the dividing).

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Then, you need to list the coefficients of the dividend (the numbers that appear in front of the variables) and the coefficients of the divisor (the numbers that appear in front of the variables in the divisor) in descending order.

Next, you need to draw a line under the coefficients of the dividend and a line under the coefficients of the divisor.

Then, you need to draw a diagonal line from the upper left-hand corner of the dividend to the upper left-hand corner of the divisor.

Next, you need to start dividing the coefficients of the dividend by the coefficients of the divisor.

For the first coefficient, you divide the dividend’s coefficient by the divisor’s coefficient. The answer is the quotient.

For the second coefficient, you multiply the dividend’s coefficient by the quotient and add the divisor’s coefficient. This is the new quot

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