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Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
Remove the square brackets
Open bracket
Reorder
The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
Remove the square brackets
Reorder
Open brackets
Collect Like Terms
Notice that the least power of x is -1.
Hence, this is not a polynomial.