Introduction to Polynomials

Question 1

The dimensions of the base of Box 1 are:

Revolt · Accepted Answer

width: x; length: 3x

Question 2

The dimensions of the base of Box 2 are:

Revolt · Accepted Answer

width: x; length: 4x – 1

Question 3

Question 3

Revolt · Accepted Answer

3x2

Question 4

Question 4

Revolt · Accepted Answer

4x2 – x

Question 5

Compare the area of the bases. If a base has a greater area, it will take up more space on the shelf.Base area of Box 1: 3x2Base area of Box 2: 4x2 – x Which box is likely to occupy more space on the shelf? Explain. Try substituting different values for x.

Revolt · Accepted Answer

Box 2 will most likely occupy more shelf space. For values of x greater than 1, the base area of Box 2 is greater.

Question 6

Box 1: Dimensions: x by 3x by x3Area of base = x(3x) = 3x2Box 2: Dimensions: x by 4x – 1 by x3Area of base = x(4x – 1) = 4x2 – xComplete the statements about the number of terms in the polynomial representing the volume of each box. Box 1’s volume will be a ⇒ monomial.

Revolt · Accepted Answer

Part 1: Box 1’s volume is 3x^5, which is a monomial because it has one term. Box 2’s volume is 4x^5 − x^4, which is a binomial because it has two terms. Box 1 is modeled by a monomial times a monomial, while Box 2 is modeled by a monomial times a binomial.; Box 1’s volume is 3x^5, which is a monomial because it has one term. Box 2’s volume is 4x^5 − x^4, which is a binomial because it has two terms. Box 1 is modeled by a monomial times a monomial, while Box 2 is modeled by a monomial times a binomial.

Question 7

Which did you include in your response?

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 8

Dimensions of Box 1: x by 3x by x3 The volume of Box 1 is given by:

Revolt · Accepted Answer

3x5

Question 9

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

Revolt · Accepted Answer

4x5 – x4

Question 10

Box 2: Degree of length: Degree of width: ⇒ 1 Degree of height: ⇒ 3 Degree of volume: ⇒ 5

Revolt · Accepted Answer

Part 1: 1

Introduction to Polynomials Answers

More from this Course

TRY EDGENUITY HACKS