Question
What property is used to multiply the polynomials below?
(2x2 + 6x + 6)(3x – 2)
Group of answer choices
Communitive Property
Associative Property
Reflexive Property
Distributive Property
Flag question: Question 2
Question 21 pts
Which expression is equivalent to (2x2 + 4x – 7)(x – 3)?
Group of answer choices
x(2x2 + 4x – 7) – 3
(2x2 + 4x – 7)(x) + (2x2 + 4x – 7)(–3)
–3x(2x2 + 4x – 7)
x(2x2 + 4x – 7) + 3(2x2 + 4x – 7)
Flag question: Question 3
Question 31 pts
Multiply the polynomials.
(x + 4)(x2 – 5x + 3)
Group of answer choices
x3 – 5x2 – 17x + 12
x3 – 5x2 + 3x + 12
x3 – x2 + 3x + 12
x3 – x2 – 17x + 12
Flag question: Question 4
Question 41 pts
Multiply the polynomials.
(7x2 + 9x + 7)(9x – 4)
Group of answer choices
63x3 + 53x2 + 27x – 28
63x3 + 81x2 + 27x – 28
63x3 + 53x2 + 27x + 28
63x3 + 53x2 + 59x – 28
Flag question: Question 5
Question 51 pts
The volume of a rectangular box is 2x(2x + 4)(2x – 2). (Drawing is not to scale.)
Which statement about the volume of the box is true?
Group of answer choices
The volume does not depend on the height, 2x – 2.
The volume is the product of the area of the base, 2x(2x + 4), and the height, 2x – 2.
The volume is the product of the length, 2x + 4, and the width, 2x.
The volume is the sum of the length, 2x + 4, the width, 2x, and the height, 2x – 2.
(2x2 + 6x + 6)(3x – 2)
Group of answer choices
Communitive Property
Associative Property
Reflexive Property
Distributive Property
Flag question: Question 2
Question 21 pts
Which expression is equivalent to (2x2 + 4x – 7)(x – 3)?
Group of answer choices
x(2x2 + 4x – 7) – 3
(2x2 + 4x – 7)(x) + (2x2 + 4x – 7)(–3)
–3x(2x2 + 4x – 7)
x(2x2 + 4x – 7) + 3(2x2 + 4x – 7)
Flag question: Question 3
Question 31 pts
Multiply the polynomials.
(x + 4)(x2 – 5x + 3)
Group of answer choices
x3 – 5x2 – 17x + 12
x3 – 5x2 + 3x + 12
x3 – x2 + 3x + 12
x3 – x2 – 17x + 12
Flag question: Question 4
Question 41 pts
Multiply the polynomials.
(7x2 + 9x + 7)(9x – 4)
Group of answer choices
63x3 + 53x2 + 27x – 28
63x3 + 81x2 + 27x – 28
63x3 + 53x2 + 27x + 28
63x3 + 53x2 + 59x – 28
Flag question: Question 5
Question 51 pts
The volume of a rectangular box is 2x(2x + 4)(2x – 2). (Drawing is not to scale.)
Which statement about the volume of the box is true?
Group of answer choices
The volume does not depend on the height, 2x – 2.
The volume is the product of the area of the base, 2x(2x + 4), and the height, 2x – 2.
The volume is the product of the length, 2x + 4, and the width, 2x.
The volume is the sum of the length, 2x + 4, the width, 2x, and the height, 2x – 2.
Answers
Answered by
GPT-4o mini
Here are the answers to all the questions:
**Question 1:** What property is used to multiply the polynomials below?
**Answer:** Distributive Property
The Distributive Property is used when multiplying polynomials, as it involves distributing each term in one polynomial to each term in the other polynomial.
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**Question 2:** Which expression is equivalent to (2x² + 4x – 7)(x – 3)?
**Answer:** (2x² + 4x – 7)(x) + (2x² + 4x – 7)(–3)
This choice correctly applies the Distributive Property (also referred to as the distributive law of multiplication over addition).
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**Question 3:** Multiply the polynomials. (x + 4)(x² – 5x + 3)
**Answer:** x³ – x² + 3x + 12
To find this, you would multiply each term in the first polynomial by each term in the second polynomial.
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**Question 4:** Multiply the polynomials. (7x² + 9x + 7)(9x – 4)
**Answer:** 63x³ + 53x² + 27x - 28
This is the correct result after multiplying the polynomials using the distributive property.
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**Question 5:** The volume of a rectangular box is 2x(2x + 4)(2x – 2). Which statement about the volume of the box is true?
**Answer:** The volume is the product of the area of the base, 2x(2x + 4), and the height, 2x – 2.
This statement accurately describes how the volume of a rectangular box can be calculated by multiplying the area of the base by the height.
---
If you have any other questions or need further explanations, feel free to ask!
**Question 1:** What property is used to multiply the polynomials below?
**Answer:** Distributive Property
The Distributive Property is used when multiplying polynomials, as it involves distributing each term in one polynomial to each term in the other polynomial.
---
**Question 2:** Which expression is equivalent to (2x² + 4x – 7)(x – 3)?
**Answer:** (2x² + 4x – 7)(x) + (2x² + 4x – 7)(–3)
This choice correctly applies the Distributive Property (also referred to as the distributive law of multiplication over addition).
---
**Question 3:** Multiply the polynomials. (x + 4)(x² – 5x + 3)
**Answer:** x³ – x² + 3x + 12
To find this, you would multiply each term in the first polynomial by each term in the second polynomial.
---
**Question 4:** Multiply the polynomials. (7x² + 9x + 7)(9x – 4)
**Answer:** 63x³ + 53x² + 27x - 28
This is the correct result after multiplying the polynomials using the distributive property.
---
**Question 5:** The volume of a rectangular box is 2x(2x + 4)(2x – 2). Which statement about the volume of the box is true?
**Answer:** The volume is the product of the area of the base, 2x(2x + 4), and the height, 2x – 2.
This statement accurately describes how the volume of a rectangular box can be calculated by multiplying the area of the base by the height.
---
If you have any other questions or need further explanations, feel free to ask!
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