SOLUTION: write a polynomial function of the least degree that has rational coefficients, a leading coefficient of 1 and the given zeros. zeros are 3 and 1-square root of 3.
f(x) = (x-3)*
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-> SOLUTION: write a polynomial function of the least degree that has rational coefficients, a leading coefficient of 1 and the given zeros. zeros are 3 and 1-square root of 3.
f(x) = (x-3)*
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Question 1057542: write a polynomial function of the least degree that has rational coefficients, a leading coefficient of 1 and the given zeros. zeros are 3 and 1-square root of 3.
f(x) = (x-3)*(x-1-sqr root3)*(x-1+sq rt 3)
not sure how to proceed from here Answer by Edwin McCravy(20060) (Show Source):
Start by putting in some inner parentheses in the last two factors:
Now multiply the last two parentheses using FOIL. When you do,
the "Inner" and "Outer" terms will cancel out:
In fact we could have skipped that and gone straight to:
Now use FOIL again:
Now simplify <--FOIL again!
Edwin
