Chapter 4: Q62. (page 174)

List all the factors of the monomial.
$6 a b^{2}$

Short Answer

Expert verified

The list of the factor of the monomial is 1, 2, 3, 6, a, b, $b^{2}$ , $a b$ , $a b^{2}$ , $2 a, 2 b, 2 b^{2}, 2 a b, 2 a b^{2}$ , $3 a, 3 b, 3 b^{2}, 3 a b, 3 a b^{2}$ , $6 a, 6 b, 6 b^{2}, 6 a b$ and $6 a b^{2}$ .

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.

Factor the monomial

First, expand and separate the variables from its coefficients.

$6 | {ab}^{2}$

In the next step, expand each individually-

$6 a b^{2} = 2 \times 3 \times a \times b \times b$

Therefore, the factors of the monomial $6 a b^{2}$ are 1, 2, 3, 6, a, b, $b^{2}$ , $a b$ , $a b^{2}$ , $2 a, 2 b, 2 b^{2}, 2 a b, 2 a b^{2}$ , $3 a, 3 b, 3 b^{2}, 3 a b, 3 a b^{2}$ , $6 a, 6 b, 6 b^{2}, 6 a b$ and $6 a b^{2}$ .

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List all the factors of the monomial.
$6 a b^{2}$

Short Answer

Step by step solution

Define monomials

State the concept to factor the monomial

Factor the monomial

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List all the factors of the monomial.6ab2

Short Answer

Step by step solution

Define monomials

State the concept to factor the monomial

Factor the monomial

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

List all the factors of the monomial.
$6 a b^{2}$