The polynomial function q(x)= x^4+ax^3-19x^2-46x+120 has a root of -4. What is the value of the missing coefficient, a? Show your work and explain your reasoning.

Raise x to the 2nd power

x^{4}-4x^{3}-19x^{2}+106x-120 ("Dividend")By : x-4 ("Divisor")

a = 19

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