Need to find:under what circumstances can synthetic division are used to divide polynomial.

Need to find:under what circumstances can synthetic division are used to divide polynomial.

Question
Polynomial division
asked 2021-02-12
Need to find:under what circumstances can synthetic division are used to divide polynomial.

Answers (1)

2021-02-13
Synthetic division:
In algebra synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with long polynomial division.
The circumstances are:
It is mostly used for division by binomials of the form x — a, but the method generalized to division by any monic polynomial.
It is dividing for the linear factor.
It can be used to divide polynomial polynomials when the division is the binomial of the form x—c and cis a constant.
0

Relevant Questions

asked 2021-02-20
The condition under which we may use synthetic division to divide polynomials
asked 2021-01-08
Synthetic division is a process for dividing a polynomial by x - c.
The coefficient of x in the divisor is 1.
How might synthetic division be used if you are dividing by \(2x - 4\)?
asked 2020-11-26
Whether the statement “When performing the division \(\frac{x^{5} +1}{x + 1}\) there's no need for me to follow all the steps involved in polynomial long division because I can work the problem in my head and see that the quotient must be \(x^{4} + 1\) ”makes sense or not.” Makes sense or not.
asked 2021-02-01
How can the division algorithm be used to check the result of the polynomial division.
asked 2021-02-11
How the division algorithm can be used to check the result of the polynomial division.
asked 2021-02-05
Whether the division of polynomial \(\frac{3x^{4}-x+1}{x-5}\) using synthetic division method is directly possible or not.
asked 2020-11-01
Synthetic division is a shortcut process for polynomial division.
asked 2021-01-06
Writing Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division \(\frac{x^{n}-1}{x-1}\).
Greate a numerical example to test your formula.
\(\frac{x^{4}-1}{x-1}\)
asked 2020-12-28
Writing Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division \(\frac{x^{n}-1}{x-1}\).
Greate a numerical example to test your formula.
\(\frac{x^{3}-1}{x-1}\)
asked 2020-12-30
Writing Complete each polynomial division. Write a brief description of the pattern that you obtain, and use your result to find a formula for the polynomial division \(\frac{x^{n}-1}{x-1}\).
Greate a numerical example to test your formula.
\(\frac{x^{2}-1}{x-1} =\) ?
...