Ichihana 3.1b Algebraic Connections - Multiplying Polynomials

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Ichihana

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Quizzes Created: 7 | Total Attempts: 3,210

Questions: 15 | Attempts: 130 | Updated: Apr 10, 2024

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Ichihana 3.1b Algebraic Connections - Multiplying Polynomials - Quiz

3.1b Algebraic Connections - Multiplying Polynomials (ICHIHANA)

Questions and Answers

1.

Find the Product.

Explanation
The given expression is a polynomial consisting of two terms, 64n^3 and 16n^2. To find the product, we do not have any other expression or number to multiply it with. Therefore, the product of the given expression is simply itself, which is 64n^3+16n^2.

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2.

Find the Product.

Explanation
The given expression is 21b+6. This is the product of 21 and b, added to 6.

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3.

Find the Product.

Explanation
The given expression cannot be simplified further as it does not have any common factors to factor out. Therefore, the answer remains as 30v^2-10v+25.

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4.

Find the Product.

Explanation
The given expression, 6x^2-7x-5, is already in its simplest form and cannot be further simplified. Therefore, it is the product of itself.

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5.

Find the product.

Explanation
The given expression is 2n^2-5n-12. This is a polynomial expression that cannot be simplified further. Therefore, the product of the expression is itself: 2n^2-5n-12.

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6.

Find the product.

Explanation
The given expression is already in its simplest form and cannot be further simplified. Therefore, the product is equal to 12a^2+25a+12.

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7.

Find the product.

Explanation
The given expression is a quadratic expression in the form of k^2+8k+16. This expression cannot be simplified further or factored into simpler terms. Therefore, the product of the expression is itself, which is k^2+8k+16.

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8.

Find the product.

Explanation
The given expression is already in its simplest form and cannot be further simplified. Therefore, the product of the expression is itself, which is 16x^2+40x+25.

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9.

Find the product.

Explanation
The given expression is already in its simplest form and cannot be simplified any further. Therefore, the product of the expression is the expression itself, which is 4n^2 + 20n + 25.

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10.

Find the product.

Explanation
The given expression is a polynomial with four terms. It cannot be simplified further. Therefore, the product of the expression is the same as the expression itself, which is 42m^3-67m^2+70m-21.

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11.

Find the product.

Explanation
The given expression is a polynomial with four terms. It cannot be simplified further as there are no like terms to combine. Therefore, the product of the expression is simply 15p^3-13p^2+5p-2.

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12.

Find the product.

Explanation
The given expression is already in its simplest form and cannot be simplified further. Therefore, the product is equal to the expression itself, which is 20x^3-45x^2+30x-5.

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13.

Find the product.

Explanation
The given expression is a polynomial expression with four terms. Each term is a multiple of n raised to a power. The powers of n in the terms are 3, 2, 1, and 0 respectively. To find the product, we simply write down the expression as it is, without any simplification or further calculations. So, the product is 6n^3-35n^2+61n-30.

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14.

Find the product.

Explanation
The given expression is already in its simplest form and cannot be further simplified. Therefore, the product of the expression is equal to the expression itself, which is 2b^4-11b^3+19b^2-18b+6.

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15.

Find the product.

Explanation
The given expression is already in its simplified form and cannot be further simplified. Therefore, the product of the expression is equal to the expression itself, which is 4r^4-5r^3-7r^2-9r-3.

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