Question

which diagram best models 2x^{3}+x^{2}+3x + 4?

Explanation:

Step1: Identify the meaning of each shape

Let the cube represent \(x^{3}\), the square represent \(x^{2}\), the vertical line represent \(x\) and the circle represent a constant.

Step2: Analyze the polynomial \(2x^{3}+x^{2}+3x + 4\)

We need 2 cubes for \(2x^{3}\), 1 square for \(x^{2}\), 3 vertical - lines for \(3x\) and 4 circles for the constant 4.

Answer:

The diagram with 2 cubes, 1 square, 3 vertical lines and 4 circles.