[tex]Option\ D.\ x-2\ and\ x^{2} +6x-16[/tex] represents the divisor and the dividend for the synthetic division problem given.
What is synthetic division?
Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
When you set up an equation using synthetic division write c for the divisor x - c. Then write the coefficients of the dividend to the right, across the top. Include any 0's that were inserted in for missing terms.
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