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)*

Algebra.Com
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): You can put this solution on YOUR website!

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
RELATED QUESTIONS

Write a polynomial function F of least degree that has rational coefficients, a leading... (answered by josgarithmetic)
Write a polynomial function f of least degree that has rational coefficients, a leading... (answered by Alan3354)
Write a polynomial function F of the least degree that has rational coefficients, a... (answered by TimothyLamb)
Write a polynomial function f of least degree that has rational coefficients, a leading... (answered by stanbon)
Write a polynomial function f of least degree that has rational coefficients, a leading... (answered by reviewermath)
Write a polynomial function f of least degree that has rational coefficients, a leading... (answered by swincher4391,solver91311)
Write a polynomial function f of least degree that has rational coefficients, a leading... (answered by solver91311)
How do I write an equation for a polynomial function F of least degree that has rational... (answered by richwmiller)
Write a polynomial function F of least degree that has rational coefficients, a leading... (answered by jsmallt9)
write a polynomial function of least degree that has rational coefficients, a leading... (answered by solver91311)