Respuesta :

PassionStar

Answer:

7x

Step-by-step explanation:

First find the common factors of the numbers: 49, 21.

That would be 1 and 7.

The GCF is 7 b/c it is greater than 1.

Find the common factors of x and x^2.

That is x times x

The factor for  x ^1  is  x  itself.

The common factor for the both of them is x.

The GCF is then x.

The multiply the both of the GCFs (x.7) and you now have 7x.

So the GCF is 7x.

xero099

The greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.

In this question, the greatest common factor of [tex]49\cdot x^{2}-21[/tex] is the greatest multiple applied on each term of the polynomial. First we notice that greatest common factor may be entirely constant. Then, we proceed to calculate each constant by factor decomposition:

[tex]49 = 7^{2}[/tex], [tex]21 = 3\times 7[/tex]

Hence, we conclude that greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.

We kindly invite you to check question on greatest common factor: https://brainly.com/question/11221202

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