HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 202
The ‘Polynomial’ group of functions, POLYCOEF([root1, root2
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The 'Polynomial' group of functions This group of functions is provided to manipulate polynomials. We will use the function shown right to illustrate some of the tools in the Polynomial group. Its equation is: f (x) = (x − 2)(x + 3)(x −1) = x3 − 7x + 6 POLYCOEF([root1,root2,...]) f(x) 14 12 10 8 6 4 2 -5 -4 -3 -2 -1 -2 -4 x 1 2 3 4 5 This function returns the coefficients of a polynomial with roots x1, x2 , x3 ,... The roots must be supplied in vector form means in square brackets. The function f (x) above has roots 2, -3 and 1. The screen shot below shows POLYCOEF correctly giving the coefficients as 1, 0, -7 and 6 for a final polynomial of f (x) = x3 − 7x + 6 . POLYEVAL([coeff1,coeff2,...],value) This function evaluates a polynomial with specified coefficients at the point specified. The coefficients must be in square brackets, followed by the value of x (not in brackets). ie. f ( x) = x3 − 7x + 6 has value 12 at x = 3. Note: This is a function that is aimed more at programmers. For normal users it is probably more efficient to enter the function into the SYMB view of the Function aplet and then either use the NUM view to find the function values required, or simply type F1(3), F1(-2) etc. in the HOME view. 202
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