Multiplication of Polynomials

Question 1

What is the base area of Box 3?x2 + x

Revolt · Accepted Answer

4

Question 2

4x2 – x 4x2 – 14x – 45x – 1

Revolt · Accepted Answer

4x2 – x

Question 3

Dimensions of Box 2: x by 4x – 1 by x3The volume of Box 2 is given by:

Revolt · Accepted Answer

4x5 – x4

Question 4

The dimensions of the base of Box 2 are:

Revolt · Accepted Answer

width: x; length: 4x – 1

Question 5

Explain your reasoning.

Revolt · Accepted Answer

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Question 6

Dimensions of Box 2: x by 4x – 1 by x3The volume of Box 2 is given by:

Revolt · Accepted Answer

4x5 – x4

Question 7

Which did you include in your response?

Revolt · Accepted Answer

If a box has a greater volume, it can hold more cereal.; Box 2 can hold more cereal. Although the value of x is unknown, it represents a length, so it must be greater than zero. For any x > 1, the volume of Box 2 is greater than the volume of Box 1.

Multiplication of Polynomials Answers

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