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13.07.2022 - 21:41

How do you write the given polynomial in standard form, and then classify it by degree and number of terms: -3x^4y^2 + 4x^4y^5 + 10x^2?

Question:

How do you write the given polynomial in standard form, and then classify it by degree and number of terms: -3x^4y^2 + 4x^4y^5 + 10x^2?

Answers (1)

Iva April 5, 2023 в 05:14

The given polynomial -3x^4y^2 + 4x^4y^5 + 10x^2 can be written in standard form as 4x^4y^5 - 3x^4y^2 + 10x^2. The degree of a term is the sum of the exponents of the variables in the term. The highest degree term in the polynomial is 4x^4y^5, which has a degree of 9 (i.e. the sum of the exponents of x and y is 9). Thus, the degree of the polynomial is 9. The number of terms in the polynomial is 3, which makes it a trinomial. Therefore, the polynomial -3x^4y^2 + 4x^4y^5 + 10x^2 can be classified as a trinomial of degree 9.

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