The area of a rectangle is 5 x cubed plus 19 x squared plus 6 x minus 18 with length x plus 3 Using synthetic division, what is the width of the rectangle?

To find the width, divide the area by the length, so divide 5x³ + 19x² + 6x − 18 by x + 3. Using synthetic division with −3 gives quotient coefficients 5, 4, and −6, with remainder 0. The width is 5x² + 4x − 6, which is choice C.

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