The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5

D

Step-by-step explanation:

The area of a rectangle is given by the formula:

So, we are given that the area is:

And the width is:

And we want to find the length. To do so, first substitute the expressions into the equation:

Thus, to find the length, divide by (x²+3):

We can factor the numerator:

From the first two terms, factor out a x².

From the third and fourth terms, factor out a 3:

Combine:

Putting this back:

Cancel:

Hence, our answer is D.

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