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Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:
Step-by-step explanation:
According the Triangle sum theorem:
m<T + m<U + m<V =180
x + 2x + x + 80 = 180
solve: x=25
Therefore m<T = 25, m<U = 50, and m<V = 105
25, 65, and y make a right triangle. use a^2 + b^2 =c^2.
so...
y^2 + 25^2 = 65^2
y^2 + 625 = 4225
y^2 = 3600 take the square root of both sides
y=60
