10-28. Polynomial Addition/Subtraction

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Define polynomial addition.

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Polynomial addition is the process of combining two or more polynomials by adding their corresponding coefficients for like terms.

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What is the standard form of a polynomial?

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What is a constant term in a polynomial?

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The constant term is the term in a polynomial that does not contain any variables, representing the value of the polynomial when all variable terms are set to zero.

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How do you identify the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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What is the result of adding two polynomials?

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The result is a new polynomial formed by combining like terms from both polynomials.

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What does it mean to write an answer in standard form?

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Writing an answer in standard form means arranging the polynomial so that the terms are in descending order of their degrees.

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What is the difference between polynomial addition and subtraction?

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Polynomial addition combines coefficients of like terms, while polynomial subtraction involves subtracting the coefficients of like terms.