Polynomial and Radical Operations

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What is a polynomial?

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A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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What is a radical?

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A radical is an expression that includes a root, such as a square root or cube root, represented by the radical symbol (√).

Tags

CCSS.8.NS.A.1

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How do you simplify a radical expression?

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To simplify a radical expression, factor the number under the radical into its prime factors, and then extract any perfect squares (or higher powers) from under the radical.

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What is the product of two radicals?

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The product of two radicals can be simplified by multiplying the numbers under the radicals together, then simplifying the resulting radical.

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What is the sum of two like radicals?

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The sum of two like radicals can be combined by adding their coefficients, while keeping the radical part the same.

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What is the difference between like and unlike radicals?

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Like radicals have the same index and radicand (the number under the radical), while unlike radicals do not.

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Yes.