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Digital SAT
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Coefficient of Leading Term in Polynomial Expansion

Hard Passport To Advanced Math Manipulating Polynomials

Consider the polynomial function defined as

$$ f(x) = 2x^3 - 5x^2 + 3x - 4 $$

To find the value of $f(a + 1)$ in terms of $a$, you need to first apply the polynomial function using $a + 1$ as the input. After determining this value, you will simplify it and then find the coefficient of the highest degree term in $f(a + 1)$. What is the coefficient of the leading term when $f(a + 1)$ is fully expanded?

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