An area of a rectangle is represented by the function p(x)=3x^3+14x^2-23x+6. the width of the rectangle is represented as x + 6 . what is the expression for the length of the rectangle?

3x^2-4x+1
3x^2+4x-1
3x^2-4x-1
3x^2+4x+1

Step-by-step explanation:

Let be the length of the rectangle.

Let be the breadth of the rectangle.

The area of the rectangle with length an breadth is given by

Given that

Given that area is

Option A:

This is the area given.So,option A is correct.

Option B:

But this is not the area given.So,option B is wrong.

Option C:

But this is not the area given.So,option C is wrong.

Option D:

But this is not the area given.So,option D is wrong.