Here are the essential concepts you must grasp in order to answer the question correctly.
Radical Expressions
Radical expressions involve roots, such as square roots or cube roots. In this question, we are dealing with cube roots, which are denoted by the radical symbol with a small '3' indicating the root's degree. Understanding how to manipulate and simplify these expressions is crucial for solving problems involving division of radicals.
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Factoring Polynomials
Factoring polynomials is the process of breaking down a polynomial into simpler components, or factors, that can be multiplied together to yield the original polynomial. In the expression ³√(x² + 7x + 12), recognizing that it can be factored into (x + 3)(x + 4) simplifies the division process significantly.
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Simplifying Rational Expressions
Simplifying rational expressions involves reducing fractions to their simplest form by canceling common factors in the numerator and denominator. In this case, after factoring the polynomial in the numerator, we can identify and cancel out any common factors with the denominator, leading to a more manageable expression.
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