Which polynomial does the model represent
1. -x3 + 2x2 - 3x + 2
2. x2 + x - 2
3. -x2 - x + 2
4. x2 + x - 2
explain why
We cannot determine which polynomial the model represents without the actual model or additional information. The options provided include two identical polynomials (options 2 and 4), an opposite version of one of the identical polynomials (option 3), and a different polynomial (option 1), so we need more information to identify the correct answer.
The polynomial that the model represents can be determined by comparing the coefficients of the terms.
1. -x^3 + 2x^2 - 3x + 2: This does not match the model as the coefficients do not correspond.
2. x^2 + x - 2: This matches the coefficients of the model, so it represents the polynomial shown by the model.
3. -x^2 - x + 2: This does not match the model as the coefficients do not correspond.
4. x^2 + x - 2: This matches the coefficients of the model, so it represents the polynomial shown by the model.
Therefore, the polynomial that the model represents is either option 2 or option 4.