Which terms are considered like terms in the expression 4p, 3p^2, and -p?

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Multiple Choice

Which terms are considered like terms in the expression 4p, 3p^2, and -p?

Explanation:
In the expression 4p, 3p^2, and -p, like terms are defined as terms that have the same variable raised to the same power. The terms 4p and -p both contain the variable p, which is raised to the first power. This means they are indeed like terms and can be combined through addition or subtraction. On the other hand, 3p^2 involves the variable p raised to the second power, which makes it a different kind of term. Because its exponent is not the same as that of the other two terms, it cannot be combined with either 4p or -p. Therefore, the correct identification of like terms in this expression is 4p and -p.

In the expression 4p, 3p^2, and -p, like terms are defined as terms that have the same variable raised to the same power.

The terms 4p and -p both contain the variable p, which is raised to the first power. This means they are indeed like terms and can be combined through addition or subtraction.

On the other hand, 3p^2 involves the variable p raised to the second power, which makes it a different kind of term. Because its exponent is not the same as that of the other two terms, it cannot be combined with either 4p or -p.

Therefore, the correct identification of like terms in this expression is 4p and -p.

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