Ichihana 3.1b Algebraic Connections - Multiplying Polynomials

Math

Grade 8th

CCSS.Math.Content.HSA-APR.A.1

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Ichihana

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Quizzes Created: 7 | Total Attempts: 3,230

| Attempts: 130 | Questions: 15 | Updated: Apr 10, 2025

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About This Quiz

Ichihana 3.1b Algebraic Connections - Multiplying Polynomials quiz assesses the ability to find the product of polynomials, enhancing algebraic skills and understanding of polynomial operations, crucial for academic progression in mathematics.

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2) Find the Product.

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.

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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3) Find the product.

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.

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.

Submit

4) Find the product.

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

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.

Submit

5) Find the product.

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.

Explanation

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6) Find the product.

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.

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.

Submit

7) Find the product.

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.

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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8) Find the product.

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.

Explanation

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9) Find the product.

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.

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.

Submit

10) Find the product.

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.

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.

Submit

11) Find the Product.

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.

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.

Submit

12) Find the product.

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.

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.

Submit

13) Find the Product.

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.

Explanation

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14) Find the product.

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.

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.

Submit

15) Find the product.

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.

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.

Submit

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Find the Product.

Find the product.

Find the Product.

Find the product.

Find the Product.

Find the product.