Here are the essential concepts you must grasp in order to answer the question correctly.
Polynomial Subtraction
Polynomial subtraction involves taking one polynomial and subtracting the corresponding terms of another polynomial. This requires aligning like terms, which are terms that have the same variable raised to the same power. The result is a new polynomial formed by subtracting the coefficients of like terms.
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Like Terms
Like terms are terms in a polynomial that have the same variable raised to the same exponent. For example, in the expression 3x² and 5x², both terms are like terms because they share the same variable (x) and exponent (2). Identifying like terms is crucial for simplifying polynomials and performing operations such as addition and subtraction.
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Combining Polynomials
Combining polynomials refers to the process of adding or subtracting polynomials to form a single polynomial expression. This involves organizing the polynomials, aligning like terms, and performing the arithmetic on the coefficients. The final result is a simplified polynomial that represents the combined effect of the original expressions.
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