Synthetic division freeware

That means the synthetic division is the shorter method of the traditional long-division of a polynomial for the special cases when the dividing by a linear factor. Let us understand the method to perform the synthetic division of polynomials in detail using solved examples.

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division , which also makes it an easier method in comparison to the long division. When we divide a polynomial p x by a linear factor x - a which is a polynomial of degree 1 , Q x is the quotient polynomial and R is the remainder.

The coefficients of p x are taken and divided by the zero of the linear factor. That is, to find if "a" is the factor of the polynomial p x , use the synthetic division to find the remainder quickly.

Let us understand this better using the example given below. Richard sells apples. Let us see how long division differs from the synthetic division of polynomials by comparing both methods. In the example given below, we will perform the division of the polynomial 4x 2 - 5x - 21 by a linear polynomial x - 3.

When a polynomial P x is to be divided by a linear factor, we write the coefficients alone, bring down the first coefficient, multiply, and add.

Repeat the multiplication and addition until we reach the end term of the polynomial. The following are the steps while performing synthetic division and finding the quotient and the remainder.

Synthetic division of polynomials uses numbers for calculation and avoids the usage of variables. In the place of division, we multiply, and in the place of subtraction, we add. The polynomial is of order 3. The divisor is a linear factor. Let's use synthetic division to find the quotient. Sign In. Sign in with Office Sign in with Facebook. Forgot Password Please enter your email address.

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