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#### Arithmetic functions , Polynomials(other)

Prove that if then $x^4 + a_1x^3 + a_2x^2 + a_3x + a_4$ is divisible by $(x – x_0)^2$.

#### Joke problem , Polynomials(other)

Find the coefficient of x for the polynomial $($x – a$)$ $($x – b$)$ $($x – c$)$ … $($x – z$)$.

#### Polynomials(other) , Rational and irrational numbers

Derive from the theorem in question 61013 that

is an irrational number.

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