Chapter 4: Q55. (page 174)

Factor the monomial.
$40 m^{2} n$

Short Answer

Expert verified

The factor of the monomial is $40 m^{2} n = 2 \times 2 \times 2 \times 5 \times m \times m \times n$ .

Step by step solution

Define monomials

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

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.

Step 3 Factor the monomial

First, expand and separate the variables from its coefficients.

$40 | m^{2} n$

In the next step, expand each individually-

$40 m^{2} n = 2 \times 2 \times 2 \times 5 \times m \times m \times n$

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Factor the monomial.
$40 m^{2} n$

Short Answer

Step by step solution

Define monomials

State the concept to factor the monomial

Step 3 Factor the monomial

One App. One Place for Learning.

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Factor the monomial.40m2n

Short Answer

Step by step solution

Define monomials

State the concept to factor the monomial

Step 3 Factor the monomial

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Statistics

Pure Maths

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Factor the monomial.
$40 m^{2} n$