Draw a model to represent the polynomial x2 + 2x + 4.
A. model aA large square is shown. To the right of the large square is a rectangle whose height is the same as the large square but whose width is much more narrow. To the right of the rectangle are four congruent small squares. The squares are arranged in two columns. Each column has two squares with the top square slightly above the bottom square.
B. model b
C. model cTwo large congruent squares are shown in a row. To the right of the large squares are four congruent small squares. The small squares are arranged in two columns. Each column has two squares with the top square slightly above the bottom square.
D. none of these
The correct model to represent the polynomial x2 + 2x + 4 would be Model A.
A. model a
The correct model to represent the polynomial x^2 + 2x + 4 is:
A. model a
The correct answer is A.
To draw a model for the polynomial x^2 + 2x + 4, we need to visualize it using geometric shapes.
In model A, a large square represents the term x^2. To the right of the large square is a rectangle, representing the term 2x. The rectangle has the same height as the large square but is narrower in width. Finally, to the right of the rectangle, there are four congruent small squares, representing the constant term 4. These small squares are arranged in two columns, each column having two squares with the top square slightly above the bottom square.
This model effectively represents the polynomial x^2 + 2x + 4.