## College Algebra (10th Edition)

$x^2+x+4$; remainder $12$
Write the coefficients of the dividend in decreasing degree inside the synthetic division symbol. Determine the value $c$ of the divisor $x-c$. The division expression has: $c=2$ coefficients of the dividend in descending degree order: $1, -1, 2, 4$. Thus, the division problem becomes: $2)\overline{\text{1 -1 2 4}}$ Perform the synthetic division to obtain: (refer to the image below) Therefore, the quotient is: $x^2+x+4$; remainder $12$