(2) Degree of polynomial : The highest power of the variable in a polynomial is called as the degree of the polynomial. For Example: The degree of p(x) = x 5 – x 3 + 7 is 5. (3) Linear polynomial : A polynomial of degree one is called a linear polynomial. For Example: 1/(2x – 7), √s + 5, etc. are some linear polynomial. polynomial h(x) of largest degree such that h(x) divides both f(x) and g(x). Euclidean Algorithm for Polynomials: Given two polynomials f(x) and g(x) of degree at most n, their greatest common divisor h(x) , can be computed using at most 2n divisions of polynomials of degree at most n. Moreover we can also nd polynomials s(x) and t(x)

Aug 02, 2016 · Synthetic division is another method of dividing polynomials. It is a shorthand of long division that only works when you are dividing by a polynomial of degree 1. Usually the divisor is in the form . In synthetic division, unlike long division, you are only concerned with the coefficients in the polynomials. Consider the same problem as above:

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