If you meant x + 5 = 4 then the multiplicity is 1.
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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.
No, a fourth degree polynomial cannot touch the x-axis three times. A polynomial can touch the x-axis at an even number of points, which corresponds to the multiplicity of its roots. If it touches the x-axis at three points, one of those points would have to be of odd multiplicity, which would make the total multiplicity odd, contradicting the fact that a fourth degree polynomial has an even degree. Thus, it can touch the x-axis at either 0, 2, or 4 points.
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.
If you meant x + 5 = 4 then the multiplicity is 1.
Multiplicity was released on 07/17/1996.
The Production Budget for Multiplicity was $45,000,000.
Multiplicity - album - was created in 2005.
Multiplicity is identified by looking at highest power of an exponent.
The duration of Multiplicity - film - is 1.95 hours.
Multiplicity - film - was created on 1996-07-17.
Multiplicity grossed $20,133,326 worldwide.
The root word of "multiplicity" is "multiple."
The multiplicity of tax is narrowly defined by several considerations, law ,policy, and administration. The meaning of multiplicity tax is the state of being various or manifold.
Multiplicity grossed $20,133,326 in the domestic market.
Thematic Emanation of Archetypal Multiplicity was created on 2005-02-14.