Find the greatest common factor (GCF) of 6x and 21X^3

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Asked 1/26/2012 10:40:59 PM

Updated 4/30/2023 6:00:14 AM

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Flagged by yeswey [6/10/2014 10:50:03 PM]

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User: Find the greatest common factor (GCF) of 6x and 21X^3

Weegy: It's 2x. Find the largest number that divides into both numbers. Multiply that times any variable that's in every term raised to its lowest exponent.
Expert answered|scijoe21|Points 50|

Question

Asked 1/26/2012 10:40:59 PM

Updated 4/30/2023 6:00:14 AM

2 Answers/Comments

This conversation has been flagged as incorrect.

Flagged by yeswey [6/10/2014 10:50:03 PM]

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yeswey

The greatest common factor (GCF) of 6x and 21x^3 is 3x.

Added 6/10/2014 10:50:26 PM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [6/10/2014 10:59:57 PM]

Bench_14

To find the greatest common factor (GCF) of 6x and 21X^3, we need to factor each term into its prime factors and then identify the common factors.

6x can be factored as 2 × 3 × x
21x^3 can be factored as 3 × 7 × x × x × x

The common factors are 3 and x, since both terms have at least one factor of 3 and one factor of x.

Therefore, the greatest common factor of 6x and 21X^3 is 3x.

Added 4/30/2023 6:00:14 AM

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The base of a triangle is 6 cm greater than the height. The area is 20 cm^2. Find the height and the length of the base.

Weegy: b = h + 8. Area = .5*h*b = .5*h*(h + 8) .5*h*(h+8) = 24. h^2 + 8h = 48. h^2 + 8h - 48 = 0. (h+12)(h-4) = 0. h = -12. h = 4. height of "-12" doesn't make any sense. Trash this solution. Use h = 4. The base is 8 bigger, that's 12. (More)

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Updated 6/20/2014 10:35:22 AM

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yeswey

Let h be the height of the triangle, its base is (h + 6).
Area = 1/2*(h + 6)*h = 20
h(h + 6) = 40
h^2 + 6h - 40 = 0
(h + 10)(h - 4) = 0
h = -10 or h = 4.
The height of the triangle is 4cm and the base is 10cm.

Added 6/20/2014 10:35:22 AM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [6/20/2014 10:41:03 AM]

x^5+4x^4

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Updated 6/5/2014 7:49:06 PM

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yeswey

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Added 6/5/2014 7:49:06 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [7/9/2014 10:28:32 AM]

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Updated 7/1/2014 11:57:01 PM

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(6r)^6 (6r)^5

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Expert Answered

Updated 4/30/2023 5:59:13 AM

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Bench_14

When we multiply two exponential expressions with the same base, we can add the exponents:

(6r)^6 × (6r)^5 = 6^6 × r^6 × 6^5 × r^5
6^6 × r^6 × 6^5 × r^5 = 6^(6+5) × r^(6+5) = 6^11 × r^11

Therefore, (6r)^6 × (6r)^5 simplifies to 6^11 × r^11.

Added 4/30/2023 5:59:13 AM

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Asked 1/27/2012 5:49:59 PM

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