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Finding the Constant in a Polynomial

Medium Advanced Math Polynomial Expressions

Consider the polynomial function given by:

$$f(x) = 2x^3 - 3x^2 + ax - 5$$

where $a$ is a constant. It is known that this polynomial has a root at $x = 2$. Determine the value of the constant $a$ such that $f(2) = 0$. Once you find the value of $a$, evaluate the polynomial at $x = 1$, and enter your answer in the grid as a decimal.

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