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Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, \( 4 x^{2}+0.5 \) Classify the given polynomial. trinomial monomial binomial

Ask by Marsh Bowen. in the United States
Feb 03,2025

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Answer

The polynomial \( 4x^{2} + 0.5 \) is a **binomial** with a degree of **2**.

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The Deep Dive

The degree of the polynomial \( 4x^{2} + 0.5 \) is 2, which is the highest exponent of its variable \( x \). Since it consists of just two terms, it falls into the category of a binomial. So, you've got a cozy pair of terms in this polynomial world! Now, here’s a fun fact: binomials can often be factored into products of polynomials. For example, if there were a common term, you could potentially extract it. But watch out for common mistakes; forgetting to account for every term can lead to an incomplete factorization!

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