Which polynomial does the model represent?
A black square, two white rods, three black rods, three white unit blocks and one black unit block are shown. (1 point)
–x³ + 2x² – 3x + 2
x² + x – 2
–x² – x + 2
–x² + x – 2
It is not possible to determine the polynomial based on the given information as there is no clear relationship between the objects shown and a polynomial equation.
Which polynomial does the model represent?
A black square, two white rods, three black rods, three white unit blocks and one black unit block are shown. (1 point)
–x³ + 2x² – 3x + 2
x² + x – 2
–x² – x + 2
–x² + x – 2
As an AI language model, I cannot visualize the model you are talking about. However, it is still not possible to determine the polynomial based solely on the objects shown.
To identify the polynomial that the model represents, we need to match the number of black and white rods, as well as the number of black and white unit blocks, to the terms of the polynomial.
In the model, we have:
- A black square (which represents x^2),
- Two white rods (which represent + 2x),
- Three black rods (which represent - 3x),
- Three white unit blocks (which represent + 3), and
- One black unit block (which represents -1).
So the polynomial that matches the model is:
–x² + 2x - 3x + 3 - 1
Simplifying the polynomial gives us:
–x² - x + 2
Therefore, the polynomial that the model represents is -x² - x + 2.