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Digital SAT
Digital SAT Mathematics - No Calculator Section

Coefficient of Cubic Term in Q(x)

Very Hard Passport To Advanced Math Manipulating Polynomials

Consider the polynomial function defined by the equation:

$$ P(x) = 2x^4 - 3x^3 + 5x^2 - x + 1 $$

Let $Q(x)$ be another polynomial such that:

$$ Q(x) = P(x) - P(x-1) $$

Calculate the value of the coefficient of the cubic term in the expanded form of $Q(x)$ and enter your answer in the grid below.

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