SOLUTION: Find a monic quartic polynomial f(x) with rational coefficients whose roots include x=1-(2) and x=2+(5). Give your answer in expanded form. I'm having trouble with this problem bec

Question 1174373: Find a monic quartic polynomial f(x) with rational coefficients whose roots include x=1-(2) and x=2+(5). Give your answer in expanded form. I'm having trouble with this problem because I keep getting irrational coefficients. Can someone please help me? Thanks.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I have no idea what this might mean: "...roots include x=1-(2) and x=2+(5)"

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(The student said it was supposed to mean 1-sqrt(2) and 2+sqrt(5)...)

To the student:

Re-post the question making that clear. Just sending me a message doesn't make the problem visible to the other tutors.

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