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Let f(x) = x^3 - 6x^2 + 11x - 6.

Try x = 1：   f(1) = 1 - 6 + 11 - 6 = 0

So x - 1 is a factot of f(x).

Try x = 2：   f(2) = 8 - 24 + 22 -...

First, we need to recall 2 basic definitions of vector operations:

The dot product is defined on vectors u=[u₁, u₂,...u_n] and v...

Suppose you have a quadratic equation: x² + 5x + 6

You are told it has TWO REAL ROOTS and you are t...

To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators.

To do this, we multiply each variable by (x)...