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To solve this problem, we need to apply the synthetic division method, which will give us the roots.
The quotient refers to the first result after we divide by -3.
-3 | 1 -13 -48
| -3 48
1 -16 0
As you can observe, the synthetic division method gave us -16 as quotient. Using the proper notation, the quotient is:
[tex]x-16[/tex]Remember that the initial polynomial has a grade of two, that is, it was a quadratic polynomial. After finding one solution, the grade of such polynomial decreases to one, giving us a quotient with grade 1.
Therefore, the right answer is C
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