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Factoring polynomials helps mathematicians determine the zeros, or solutions, of a function. These zeros indicate critical changes in increasing and decreasing rates and generally simplify the analysis process. For polynomials of degree three or higher, meaning the highest exponent on the variable is a...
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GOAL: FACTOR CUBIC POLYNOMIALS AND SOLVE CUBIC EQUATIONS Section 6-5: Factoring Cubic Polynomials. Properties of Numbers. Additive Identity Adding “0” to a number gives you the same initial number. Example = = 99. Adding and Subtracting Polynomials 1/6/2014. Example 1 Add Polynomials Verti...
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(1,000 x 1,000 x 1,000) to determine the volume or density, which is 1 billion cubic meters in this case. Then, you multiply that volume by the water content of the cloud based on its type, which turns out to be about 22 tons for cirrus clouds, 330 tons for stratus clouds, ...
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For comparison, we adopt both the Lagrange polynomial interpolation and the cubic spline interpolation to carry out the task. In the Lagrange's case, we evaluate those factors by solving for coefficients of the Lagrange polynomials from a Vandermonde linear system; in the cubic spline algorithm, ...