To factor the expression x 2 + 7 x + 10 we need to determine the values that replace the ?'s in the following diagram. Notice that the top-right and bottom-left regions must sum to 7 x . A diagram of a rectangular grid. The length of the rectangle is partitioned into segments representing the terms x and unknown value one, while the width of the rectangle is partitioned into segments representing the terms x and unknown value two. This creates a grid with four cells. The top-left cell represents the product of x and x, or x squared. The top-right cell represents the product of unknown value one and x. The bottom-left cell represents the product of x and unknown value two. The bottom-right cell represents the product of unknown value one and unknown value two, which must multiply to ten. By adding the contents of all of the cells in the grid, we obtain the original expression x squared plus seven x plus ten. After studying the diagram, write the factored form of the expression. x 2 + 7 x + 10 = To factor the expression x 2 + 8 x + 7 we need to determine the values that replace the ?'s in the following diagram. Notice that the top-right and bottom-left regions must sum to 8 x . A diagram of a rectangular grid. The length of the rectangle is partitioned into segments representing the terms x and unknown value one, while the width of the rectangle is partitioned into segments representing the terms x and unknown value two. This creates a grid with four cells. The to