Solve the Polynomial Equation $x$ Represents the Length of the Side of the Square Cut

question 55

Multiple Choice

Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational
roots.
-A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If $x$ represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 10 inches by 7 inches, what size square must be cut if the volume of the box is to be 40 cubic inches?

• A) 1 in. by 1 in. square
• B) 2 in. by \(2 \mathrm { in }\). square
• C) 8 in. by 8 in. square
• D) 5 in. by 5 in. square