The process of rearranging a polynomial in descending order refers to the act of systematically ordering its terms such that they descend in degree from the left to the right. The degree of a term is defined as the exponent of its variable. Take, for example, the polynomial 3x^2+7x^4-5x, which when reordered in descending order becomes 7x^4+3x^2-5x. This method of ordering polynomials improves readability and simplifies manipulation.
Topic | Problem | Solution |
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None | Reorder the polynomial \(5x^3 - 2x^2 + 7x - 3\) i… | Step 1: Identify the terms of the polynomial. The terms are \(5x^3\), \(-2x^2\), \(7x\), \(- 3\) |
None | Question 2 Simplify $7 y-8 x^{2}+6 y-2 x^{2}+3 x$ | The question is asking to simplify an algebraic expression. To simplify this expression, we need to… |