(15 points total) (a) Find a polynomial with integer coefficients to show that
(1)/(\root(3)(11)-\sqrt(3))
is algebraic. (b) Use your calculator to check numerically that your polynomial in # 9(a) is satisfied by the number
(1t)/(\root(3)(11)-\sqrt(3))~~2:0328125
.

Question

(15 points total) (a) Find a polynomial with integer coefficients to show that

(1)/(\root(3)(11)-\sqrt(3))

is algebraic. (b) Use your calculator to check numerically that your polynomial in # 9(a) is satisfied by the number

(1t)/(\root(3)(11)-\sqrt(3))~~2:0328125

.

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(Solved): (15 points total) (a) Find a polynomial with integer coefficients to show that (1)/(\root(3)(11)-\sq ...