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Chapter 4: Q11. (page 177)

Find the greatest common factors of the monomials.

20x2,36x

Short Answer

Expert verified

The greatest common factors of the monomial is 4x.

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 20x2,36x

First finding the factors of numbers.

The factor of localid="1647931831797" 20is 20=2脳2脳5

The factor of 36 is 36=2脳2脳3脳3

Again, find the factors of variables

The factor of x2 is x2=x脳x

The factor of x is x=1脳x

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 2脳2.

the common factor among the variables are x

So, the greatest common factor is 4x.

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Most popular questions from this chapter

Write the prime factorization of the number.

26

Write all the factors of the number.

60

Write the power in words and as a repeated multiplication. Then evaluate the power.

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Find the product. (p. 756)

20脳35

Describe how to write the prime factorization of a number.
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