Information AboutCoefficient |
| CATEGORIES ABOUT COEFFICIENT | |
| polynomials | |
| mathematical terminology | |
| algebra | |
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In Mathematics , a coefficient is a Constant Multiplicative factor of a certain object. For example, the coefficient in ''9x''''2'' is ''9''. The object can be such things as a Variable , a Vector , a Function , etc. In some cases, the objects and the coefficients are indexed in the same way, leading to expressions such as: : where ''a''''n'' is the coefficient of the variable ''x''''n'' for each ''n'' = 1, 2, 3, … In a Polynomial ''P''(''x'') of one variable ''x'', the coefficient of ''x''''k'' can be indexed by ''k'', giving the convention that for example: : For the largest ''k'' where ''a''''k'' ≠ 0, ''a''''k'' is called the ''leading coefficient'' of ''P'' because most often, polynomials are written from the largest power of ''x'', downward (i.e. ''x''5 + ''x''4 + ''x''2 ...). Important coefficients in mathematics include the Binomial Coefficient s which are coefficients in the statement of the Binomial Theorem . These can be partially found with Pascal's Triangle . LINEAR ALGEBRA In Linear Algebra , the leading coefficient of a row in a matrix is the first nonzero entry in that row. So, for example, given : 1 is the leading coefficient of the first row, 2 is the leading coefficient of the second row, 4 is the leading coefficient of the third row, and the last row does not have a leading coefficient. PHYSICS In Physics , many equations have coefficients associated with them. For example, is the Coefficient Of Friction between two objects in the equation . SEE ALSO |
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