Here are the essential concepts you must grasp in order to answer the question correctly.
Polynomials
Polynomials are algebraic expressions that consist of variables raised to whole number exponents and coefficients. They can include terms like constants, linear terms, quadratic terms, and higher degrees. Understanding the structure of polynomials is essential for performing operations such as addition, subtraction, and multiplication.
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Like Terms
Like terms are terms in a polynomial that have the same variable parts raised to the same powers. For example, in the expression 3x² and 5x², both terms are like terms because they share the same variable x raised to the power of 2. Identifying like terms is crucial for combining them during polynomial addition or subtraction.
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Combining Polynomials
Combining polynomials involves adding or subtracting their like terms to simplify the expression. This process requires careful attention to the coefficients of like terms, ensuring that they are summed correctly. The result is a new polynomial that retains the same variable structure but has simplified coefficients.
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