SOLUTION: Polynomial function with the leading coefficient of 2 and degree of 3. Has zeros of 2, 5/2, 13/2
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Question 995757: Polynomial function with the leading coefficient of 2 and degree of 3. Has zeros of 2, 5/2, 13/2
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Polynomial function with the leading coefficient of 2 and degree of 3. Has zeros of 2, 5/2, 13/2
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f(x) = (1/2)(2x-5)(2x-13)(x-2)
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
is a zero of a polynomial, then 
is a factor of the polynomial. If the polynomial is of degree 
, then it has linear factors. When you multiply your three linear factors you will get a polynomial of the form 
. Almost there. However, for any given set of coefficients 
, all polynomials )
have the same zeros. You just need to find the right value of 
so that the lead coefficient is 2.
John
My calculator said it, I believe it, that settles it
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