Question

What is Synthetic Division?
Explain with example..​

Answer 1

Hello Mate,

Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor -- and it only works in this case. ...

Example: Using Synthetic Division to Divide a Third-Degree Polynomial. Use synthetic division to divide 4x3+10x2−6x−20 4 x 3 + 10 x 2 − 6 x − 20 by x+2 . The binomial divisor is x+2 x + 2 , so k=−2 k = − 2 . Add each column, multiply the result by –2, and repeat until the last column is reached.....

Hope this helps you

Answer 2

Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. To illustrate the process, recall the example . Divide 2x3−3x2+4x+5 2 x 3 − 3 x 2 + 4 x + 5 by x+2 using the long division algorithm.

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