1. Find the sum of a polynomial and its opposite
2. Write the opposite of (3x + 1)
3. Create a polynomial with a sum of 1
4. Create a polynomial with a difference of x
5. (a + b) = (a - b); find the value of a and b
2. Write the opposite of (3x + 1)
3. Create a polynomial with a sum of 1
4. Create a polynomial with a difference of x
5. (a + b) = (a - b); find the value of a and b
Answers & Comments
The sum of a polynomial and its opposite is always zero.
The opposite of (3x + 1) is (-3x - 1).
One example of a polynomial with a sum of 1 is: x + (1 - x).
One example of a polynomial with a difference of x is: x - 1.
If (a + b) = (a - b), then b must be equal to zero. Thus, a can be any real number.