Question

The Associative Property works for polynomial addition. Does it work for polynomial subtraction?

Complete the equations and choose whether it is an example or a counterexample.
Remember the Associative Property for addition is (a + b) + c = a + (b + c).
(7x - 4x) - 3x = 4x - 3x v = 0
7x - (4x - 3x) = 7x x v = 6x
This is an example
The Associative Property does not v work for polynomial subtraction.

Answer 1

The Associative Property does not work for polynomial subtraction.

Step-by-step explanation:

The Associative Property does not work for polynomial subtraction.

According to the Associative Property for addition, (a + b) + c = a + (b + c). However, this property does not hold true for subtraction.

In the given equation (7x - 4x) - 3x, we have (7x - 4x) = 3x, and then subtracting 3x results in 0, which is not equal to 4x - 3x.

This counterexample shows that the Associative Property does not work for polynomial subtraction.