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How many terms are in the following polynomial?
a) 4
b) 5
c) 6
d) 7

1 Answer

3 votes

Final answer:

The actual polynomial must be provided to determine the number of terms. Polynomial terms are separated by plus or minus signs and consist of variables -5, coefficients, and constants.

Step-by-step explanation:

To determine how many terms are in the given polynomial, it is necessary to be provided with the actual polynomial. A polynomial is a mathematical expression consisting of variables (also known as indeterminates), coefficients, and constants that are combined using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Terms in a polynomial are separated by plus or minus signs. For example, in the polynomial 3x^2 + 2x - 5, there are three terms: 3x^2, 2x, and -5.

To simplify the algebra, you should eliminate terms wherever possible by combining like terms, those that have the same variables raised to the same power. After simplifying, you can count the number of distinct terms left. Checking that the answer is reasonable involves ensuring that all like terms have been combined and that the resulting polynomial is in its simplest form.

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