6
AssignmentMultiple Choice

Addition and Subtraction of Polynomials

Question 6 • FL-1200330-Algebra 2 CR

Which example illustrates the commutative property of addition for polynomials?

Answer
A
(2x2 + 5x) = –(–2x2 – 5x)
B
(2x2 + 5x) + 0 = (2x2 + 5x)
C
(2x2 + 5x) + (4x2 – 4x) = 2x2 + 5x + 4x2 – 4x
D
(2x2 + 5x) + (4x2 – 4x) = (4x2 – 4x) + (2x2 + 5x)

Explanation

The commutative property of addition says that changing the order of the addends does not change the sum: a + b = b + a. Choice D switches the order of the two polynomials while keeping both unchanged, so it illustrates this property. Choice B shows the additive identity property instead.

AI-written and checked against the verified answer.

Previous
Next