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Chapter 4: Q65. (page 174)

List all the factors of the monomial.

7xyz

Short Answer

Expert verified

The list of the factor of the monomial is 1, 7, x, y, z, xy, yz, xz, 7x, 7y, 7z, 7xy, 7yz, 7xzand 7xyz.

Step by step solution

01

  Define monomials

A monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient.

02

  State the concept to factor the monomial

To factor a monomial completely, write the coefficient as a product of primes and expand the variable part.

03

  Factor the monomial

First, expand and separate the variables from its coefficients.

7|xyz

In the next step, expand each individually-

7xyz=7脳x脳y脳z

Therefore, the factors of the monomial 7xyzare 1, 7, x, y, z, xy, yz, xz, 7x, 7y, 7z, 7xy, 7yz, 7xzand 7xyz.

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Most popular questions from this chapter

Calculate the product.28脳14

Write the prime factorization of the number.

63

Find the greatest common factor of the numbers.

54, 89

Find the greatest common factors of the monomials.

r,r4

Find the greatest common factor of the numbers.

21, 99
See all solutions

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