Can You Always Use Synthetic Division For Dividing Polynomials Explain
Camila Farah
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Can you always use synthetic division when dividing polynomials. Synthetic division is a shorthand method of dividing polynomials for the special case of dividing by a linear factor whose leading coefficient is 1. This division by linear denominator is also called division through ruffini s rule paper and pencil computation. It is most commonly used to find roots of a polynomial.
If the polynomial you re dividing by looks like this for example. 2x 2 x 1. Synthetic division is a shortcut that is just as sufficient as long division if it follows these guidelines. No if the degree of the denominator is not 1 then you cannot use synthetic division.
You should always do it because it is good for your brain. This problem has been solved. Answer by jim thompson5910 35256 show source. Let s use synthetic division to divide the same expression that we divided above with polynomial long division.
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Synthetic division is mostly used when the leading coefficients of the numerator and denominator are equal to 1 and the divisor is a first degree binomial. It does away with division brackets and variables used in polynomial long division and focuses on the coefficients of the polynomial in question. Maths division is the heart of maths. If we want to divide polynomials using synthetic division you should be dividing it by a linear expression and the first number or the leading coefficient should be a 1.
Polynomial synthetic division is a simplified form of polynomial division that is used only in the case of division by a linear factor a monomial. The denominator what you re dividing by must be. If the degree of the denominator is greater than 1 then you must use. These are all made up numbers by the way just examples then you cannot divide by it and muse therefore use long division.
If you mean can you mix conventional oil and synthetic the answer is yes you can. Explain why or why not and then give an example of a long division problem that can be done with synthetic division.
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