Use synthetic division to determine the quotient Q(x) and the constant remainder R obtained when the first polynomial F(x) is divided by the binomial x-k.

2x^4 - 8x^3 + x^2 - 12 , x-4

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You want to divide the polynomial (2*x^4 - 8*x^3 + 1*x^2 + 0*x - 12) by binomial (x-4)

Here, your k = 4

Take the coefficients of the polynomial and start with the highest power. : 2 , -8, 1, 0, -12

And our Quotient Q(x) = 2*x^3 + 0*x^2 + 1*x + 4 ; R = 4

Answer Simplify Q(x) as Q(x) = 2x^3 + x + 4; R = 4

The coefficients of Q(x) were in the last row of the table, excluding the last column.

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