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Chapter 4: Q. 10 (page 179)

Find the greatest common factors of the monomials.

3x2,15x3

Short Answer

Expert verified

The greatest common factors of the monomial is 3x2.

Step by step solution

01

Step 1. Apply the concept of   GCF.

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them.

02

Step 2. Find the common factors

Here, the monomials are 3x2,15x3

First finding the factors of numbers.

The factor of 3 is 3=1脳3

The factor of 15 is 15=3脳5

Again, find the factors of variables

The factor of x2 is x2=x脳x

The factor of x3 is x3=x脳x脳x

03

Step 3. Finding the GCF 

Now, the common factor among the numbers are 3.

the common factor among the variables are x脳x

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Most popular questions from this chapter

Tell whether the number is prime or composite. If it is composite, write its prime factorization.

180

Find the greatest common factor of the monomials.

32y2,6x2y

Find the relationship between the resulting quotients when you divide two numbers by their greatest common factor.

Find the greatest common factor of the numbers.

12, 36

Write the prime factorization of the number.

63
See all solutions

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