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Finding the largest root of a polynomial equation The problem The technique Use

ID: 3629846 • Letter: F

Question

Finding the largest root of a polynomial equation

The problem

The technique

Use Maple to find the exact roots of the equation. You can then inspect them and find the one you want. It is not possible to copy and paste the above graphics image of the polynomial formula into Maple, since Maple won't accept a graphics image as input for a formula. However, you can copy and paste this version of the formula as input to Maple:

1039573709000*x^4-99865749800*x^3+3596148430*x^2-57530950*x+345000

Enter your answer as an exact fraction (e.g. 10/47 ). Numerical approximations (numbers with decimal points in them, such as .02127) will not be graded as correct.

The largest root of the polynomial is x =

Explanation / Answer

The largest root is 25/1009

I don't have maple but I did it in Matlab using:

format rat
roots([1039573709000 -99865749800 3596148430 -57530950 345000])
ans =
25/1009    5/202     12/505     23/1010

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