SOLUTION: hello there wonderful tutor, i am in need of your fine assistance, if you would be so kind! this problem has been rattling my brain---please save me!!! here it is.....
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Polynomials-and-rational-expressions
-> SOLUTION: hello there wonderful tutor, i am in need of your fine assistance, if you would be so kind! this problem has been rattling my brain---please save me!!! here it is.....
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Question 244371: hello there wonderful tutor, i am in need of your fine assistance, if you would be so kind! this problem has been rattling my brain---please save me!!! here it is.....
A polynomial equation for the variable x and of the smallest degree with rational coefficients has one root of: sqrt(3)+ sqrt(2) all over sqrt(3)-sqrt(2)... and a second root of: sqrt(11)+sqrt(10) all over sqrt(11)-sqrt(10)..... If the coefficient of the x term in the polynomial equation is -52, find the coefficient of the x^2 term.
(i just added the colons and dot dot dots for organization)
ok, PLEASE help!!!!!!!! Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! "one root of: sqrt(3)+ sqrt(2) all over sqrt(3)-sqrt(2)"
___ multiplying numerator and denominator by [sqrt(3)+ sqrt(2)] ___ 5 + 2 sqrt(6)
___ conjugate root ___ 5 - 2 sqrt(6)
___ resulting factor [(x - R1)(x - C1)] ___ x^2 - 10x + 1
