SOLUTION: Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in standard form.
0,5,−5+√8
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-> SOLUTION: Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in standard form.
0,5,−5+√8
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Question 1063433: Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in standard form.
0,5,−5+√8 Found 2 solutions by stanbon, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in standard form.
0,5,−5+√8
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f(x) = x(x-5)(x-(-5+sqrt(8))(x-(-5-sqrt(8))
f(x) = x(x-5)((x+5)-sqrt(8))((x+5)+sqrt(8))
f(x) = x(x-5)((x+5)^2-8)
f(x) = x(x-5)(x^2+10x+17)
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Cheers
Stan H.
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The solution of the given problem, if to read it LITERALLY, is
p(x) = .
But I am sure it is NOT what you expect.
It is because you INCORRECTLY formulated the problem.
The correct formulation requests the polynomial with INTEGER coefficients.
Then it is
q(x) = .
I am surprising why people are not able to write one line of the text correctly.
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