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Why does polyfit return coefficients in descending powers of x?

hard📝 Conceptual Q10 of 15
MATLAB - Numerical Methods
Why does polyfit return coefficients in descending powers of x?
ATo match the standard polynomial representation from highest to lowest degree
BBecause MATLAB stores vectors in descending order
CTo simplify plotting functions
DTo confuse beginners
Step-by-Step Solution
Solution:
  1. Step 1: Recall polynomial standard form

    Polynomials are usually written from highest degree term to lowest.
  2. Step 2: polyfit follows this convention

    Returning coefficients in descending powers matches this standard.
  3. Final Answer:

    To match the standard polynomial representation from highest to lowest degree -> Option A
  4. Quick Check:

    polyfit coefficient order matches polynomial standard [OK]
Quick Trick: polyfit coefficients follow standard polynomial order [OK]
Common Mistakes:
  • Thinking order is arbitrary
  • Assuming ascending order
  • Believing it's for plotting only

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