Here are the essential concepts you must grasp in order to answer the question correctly.
Polynomial Terms
A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients. Each term in a polynomial is typically in the form of ax^n, where 'a' is a coefficient, 'x' is the variable, and 'n' is a non-negative integer. Understanding how to identify and manipulate these terms is essential for rewriting polynomials.
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Descending Order
Descending order in polynomials refers to arranging the terms from the highest degree to the lowest degree. The degree of a term is determined by the exponent of the variable. For example, in the polynomial 6x^3 + 4x^2 - x + 5, the term with the highest exponent (3) comes first, followed by the next highest (2), and so on.
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Combining Like Terms
Combining like terms involves simplifying a polynomial by adding or subtracting terms that have the same variable raised to the same power. This process is crucial for rewriting polynomials in a more compact form. For instance, in the expression 4x^2 - x^2, both terms are like terms and can be combined to yield 3x^2.
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