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29 November, 21:32

Given the expression 3x^2y+4xy+1-5x^4y-6y, do the following as instructed below:

A. Write the polynomial in descending order.

B. Classify the polynomial by the number of terms.

C. State the degree of the polynomial.

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  1. 29 November, 21:38
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    In a situation like this, you find the degree of each term by adding together all the exponents on all the variables. The first term has x squared and y, which is a total of 3; the next term has 1 x and 1 y for a total of 2, the next term doesn't have a variable, the one after that has x to the 4th and a y for a total of 5, and the next one has just one y for a total of 1. So putting this is descending order, you'd get: - 5x^4y + 3x^2y + 4xy - 6y + 1. A polynomial with any number of terms greater than 3 is just called a polynomial. And this is a 5th degree polynomial.
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