Identify as a monomial, binomial, or trinomial.2x^2+5x^2-8
The expression 2x^2+5x^2-8 can be classified as a trinomial
The expression 2x^2+5x^2-8 can be classified as a trinomial.
To understand the classification, let’s break down the given expression:
1. 2x^2 is a monomial because it consists of a single term (2x^2) without any addition or subtraction.
2. 5x^2 is another monomial for the same reason.
3. -8 is also a monomial since it is a single term without any addition or subtraction.
When we combine these three monomials using addition, we get a trinomial. The trinomial 2x^2+5x^2-8 has three terms: 2x^2, 5x^2, and -8.
To further simplify the trinomial, we can combine like terms. Since 2x^2 and 5x^2 have the same variable (x^2), we can add their coefficients (2 and 5) to get a simplified expression: 7x^2-8.
So, in summary, the expression 2x^2+5x^2-8 is a trinomial with three terms.
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