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.

Question

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.

Multiplication of Polynomials

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.

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