6 x^4+n x^3-14 x^2+2 is divisible by 2 x+1. The remainder is -2 . Find the value of n. Justify y

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Alright, so we got p of x is equal to 6x cubed plus mx squared plus nx minus 5. We also know tha

\( 6 x^{4}+n x^{3}-14 x^{2}+2 \) is divisible by \( 2 x+1 \). The remainder is -2 . Find the value of \( n \). Justify your answer by showing your work.