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What is the multiplicity of the zero of the polynomial function f x x plus 5 4?

If you meant x + 5 = 4 then the multiplicity is 1.


How many zeros can be a polynomial of degree 'n' have?

A polynomial of degree ( n ) can have at most ( n ) distinct zeros (roots) in the complex number system, according to the Fundamental Theorem of Algebra. These zeros may be real or complex, and they can also be repeated, meaning a polynomial can have fewer than ( n ) distinct zeros if some are counted multiple times (multiplicity). For example, a polynomial of degree 3 could have 3 distinct zeros, 2 distinct zeros (one with multiplicity 2), or 1 distinct zero (with multiplicity 3).


What is the discriminant of an equation that is zero?

The discriminant of the zero polynomial, P(x) = 0, is zero because it has multiple roots at every point: For all x, P'(x) = P(x) = 0. Thus, the formula for the discriminant gives Δ = a_0^(0-2) * Π_{all different roots counting multiplicity} (one root - other root)^2 Note that the second term contains an uncountable number of zeroes multiplied together. Dividing out two of them leaves you with an uncountable number of zeroes multiplied together-- i.e. zero. The above argument can be made more rigorous by adding in all the limits and stuff.


What is a synonym for 'variety'?

collection, diversity, assortment, selection, multiplicity, array, range, mixture, change, variability, variation


When graphing polynomials the x intercept of tye curve are xalled?

When graphing polynomials, the x-intercepts of the curve are called the "roots" or "zeros" of the polynomial. These are the values of x for which the polynomial equals zero. Each root corresponds to a point where the graph crosses or touches the x-axis. The multiplicity of each root can affect the behavior of the graph at those intercepts.