General Information
Related Benchmark: MAFS.912.A-APR.1.1
Reporting Category: Algebra: Arithmetic with Polynomials & Rational Expressions
Type: GRID: Graphic Response Item Display
Difficulty: N/A
Question:
Roxanne wants to test the idea that polynomials are closed under addition. Her work and explanation are shown.
Drag an expression and phrases to the boxes to complete the statement.
Add to ____________________. The sum is closed because ______________ are ________________ and by definition the sum is a polynomial.
Answer Options:
![begin mathsize 12px style 5 x squared minus left parenthesis 2 x right parenthesis cubed plus left parenthesis 4 x right parenthesis to the power of negative 1 end exponent end style](https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/208c1078320b0da2e2f117bd2465dea4.png)
![begin mathsize 12px style 5 x squared minus left parenthesis 2 x right parenthesis cubed plus left parenthesis 4 x right parenthesis to the power of negative 1 end exponent end style](https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/208c1078320b0da2e2f117bd2465dea4.png)
the variables
the coefficients
integers
real numbers
the exponents
whole numbers
Possible Answer:
Add
to
. the sum is closed because the exponents are whole numbers and by definition the sum is a polynomial.
![begin mathsize 12px style 3 x to the power of 4 minus 7 x cubed plus 12 x minus 9 end style](https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/13d2fd096fb2627ede7b9ee2a9d6c531.png)
![begin mathsize 12px style left parenthesis 2 x right parenthesis cubed plus 2.1 x squared minus 11 end style](https://cpalmsmediaprod.blob.core.windows.net/wirisformulas/cache/0e863be00dda2f7fc32bbd3c799e2bac.png)