Here are the essential concepts you must grasp in order to answer the question correctly.
Binomials
A binomial is a polynomial that consists of exactly two terms, which can be separated by a plus or minus sign. In the expression (x−4)(x²−5), both (x−4) and (x²−5) are binomials. Understanding how to manipulate binomials is essential for performing operations like multiplication.
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FOIL Method
The FOIL method is a technique used to multiply two binomials. FOIL stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms of the binomials. This method simplifies the multiplication process by ensuring that all combinations of terms are accounted for, leading to a correct polynomial result.
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Polynomial Multiplication
Polynomial multiplication involves multiplying two or more polynomials to produce a new polynomial. This process requires distributing each term in one polynomial to every term in the other. Understanding how to combine like terms and apply the distributive property is crucial for simplifying the resulting polynomial after multiplication.
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