# Polynomial Operations In One Variable

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There are five questions in five minutes. � Remember to use ^ (it's above the 6 key) to write an exponent. � For example x squared would be x^2. � �Make sure your answer has no spaces between characters and that you write your final answer in standard form.

• 1.
Explanation
The given expression is 13x-12. This is a simplified form of the expression and there is no further simplification or calculation required. Therefore, the answer is 13x-12.

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• 2.
Explanation
The given expression is 11x^3, which means 11 multiplied by x raised to the power of 3. This means that x is being multiplied by itself three times. Therefore, the correct answer is 11x^3.

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• 3.
Explanation
The given expression is a quadratic trinomial in the form of ax^2 + bx + c. In this case, a = 12, b = -16, and c = 5. The answer is simply the expression itself without any simplification or factorization.

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• 4.
Explanation
The given expression is 4x^2. This means that we have a term with a coefficient of 4 and a variable x raised to the power of 2. The exponent 2 indicates that x is being multiplied by itself. Therefore, the correct answer is 4x^2.

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• 5.
Explanation
The given expression is 8a^3 - 27. This expression represents the difference of two cubes. The formula for the difference of two cubes is a^3 - b^3 = (a - b)(a^2 + ab + b^2). In this case, a is 2a and b is 3. Plugging these values into the formula, we get (2a - 3)(4a^2 + 6a + 9). Therefore, the correct answer is 8a^3 - 27.

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• Current Version
• Mar 21, 2023
Quiz Edited by
ProProfs Editorial Team
• Apr 10, 2011
Quiz Created by
Sstorla

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