Identify the like terms in the polynomial: [tex]2x^3 + 7x^2 - 7x^2[/tex]. Which of the following options correctly identifies the like terms?

A. [tex]2x^3[/tex] and [tex]7x^2[/tex]
B. [tex]7x^2[/tex] and [tex]-7x^2[/tex]
C. [tex]2x^3[/tex] and [tex]-7x^2[/tex]
D. [tex]7x^2[/tex] and [tex]7x^2[/tex]

In the polynomial 2x³ + 7x² - 7x², the like terms are 7x² and -7x², since they both contain the variable x raised to the power of 2, Therefore, option B. 7x² and -7x² is the correct answer.

Explanation:

The question asks to identify the like terms in the polynomial: 2x³ + 7x² - 7x². Like terms in algebra are terms that contain the same variables raised to the same power. In this polynomial, the like terms are 7x² and -7x² because they both contain the variable x raised to the power of 2. Therefore, the correct answer to the question is option B. 7x² and -7x².

Identify the like terms in the polynomial: [tex]2x^3 + 7x^2 - 7x^2[/tex]. Which of the following options correctly identifies the like terms?A. [tex]2x^3[/tex] and [tex]7x^2[/tex] B. [tex]7x^2[/tex] and [tex]-7x^2[/tex] C. [tex]2x^3[/tex] and [tex]-7x^2[/tex] D. [tex]7x^2[/tex] and [tex]7x^2[/tex]

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Final answer:

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