Wilson cuts rectangular mats for picture frames. The area of the mat before it is cut is represented by the function M(x) = 4x2 + 22x + 30. The area that is cut out and removed from the middle of the mat is represented by the function N(x) = x2 + 7x.

If x is the width of the portion of the mat that is cut out, which function best describes A(x), the area of the cut mat?

Question

Wilson cuts rectangular mats for picture frames. The area of the mat before it is cut is represented by the function M(x) = 4x2 + 22x + 30. The area that is cut out and removed from the middle of the mat is represented by the function N(x) = x2 + 7x. 

If x is the width of the portion of the mat that is cut out, which function best describes A(x), the area of the cut mat?

olsolneo123 · Answer

A(x) = 4x2 + 21x + 23

A(x) = 3.9x2 + 22x + 23

A(x) = 3x2 + 15x + 30

A(x) = 5x2 + 29x + 30