You have a polynomial p = [1 -6 11 -6] representing x^3 - 6x^2 + 11x - 6. Which MATLAB code correctly finds the roots and evaluates the polynomial at x = 2?

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MATLAB - Numerical Methods

You have a polynomial p = [1 -6 11 -6] representing x^3 - 6x^2 + 11x - 6. Which MATLAB code correctly finds the roots and evaluates the polynomial at x = 2?

A<code>r = roots(p); y = polyval(p, 2);</code>

B<code>r = polyval(p, 2); y = roots(p);</code>

C<code>r = roots(2); y = polyval(p);</code>

D<code>r = roots(p, 2); y = polyval(p, 2);</code>

Step-by-Step Solution

Solution:

Step 1: Find roots of polynomial
Use roots(p) to get zeros of polynomial p.
Step 2: Evaluate polynomial at x=2
Use polyval(p, 2) to find polynomial value at 2.
Final Answer:
r = roots(p); y = polyval(p, 2); -> Option A
Quick Check:
roots(p) finds zeros, polyval(p,x) evaluates [OK]

Quick Trick: roots() finds zeros; polyval() evaluates at points [OK]

Common Mistakes:

Swapping roots and polyval calls
Passing wrong arguments to roots
Using roots with two arguments

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You have a polynomial p = [1 -6 11 -6] representing x^3 - 6x^2 + 11x - 6. Which MATLAB code correctly finds the roots and evaluates the polynomial at x = 2?

Step 1: Find roots of polynomial

Step 2: Evaluate polynomial at x=2

Final Answer:

Quick Check:

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