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Nuetrik [128]
3 years ago
7

Factor completely 12x4 + 6x3 + 18x2.

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

B)3x^2 (4*x^2 + 2x + 6)

Step-by-step explanation:

Step 1: Find the Greatest common factor of the given expression.

12x^4 + 6x^3 + 18x^2

The above expression can be written as .

= 2*2*3*x^4 + 2*3*x^3 + 2*3*3*x^2

Here 3x^2 is prime factor


Step 2: Let's take out the 3x^{2} and write the remaining terms in the parenthesis.

= 3x^2 (2*2*x^2 + 2x + 2*3)

= 3x^2 (4x^2 + 2x + 6)

Therefore, the answer is B)3x^2 (4*x^2 + 2x + 6)

Thank you.

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Roshan makes the table below to describe how to draw a ray diagram for a convex lens.
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Answer:

The ray that goes parallel to the main axis after passing through the lens should also be parallel from the object to the lens

Step-by-step explanation:

To form the image of an object using a convex lens, ray diagrams are used. The following steps are followed when drawing ray diagrams.

1) Light rays are drawn from the object incidented on the lens and parallel to the principal axis. The incident light refracts (bends) through the lens and converges at the focal point at the other side of the lens.

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Based on the above points, Roshan made an error by drawing the ray that goes parallel to the main axis and after passing through the lens made the same ray to be parallel from the object to the lens instead of refracting (bending) after passing through the lens.

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3 years ago
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Step-by-step explanation:

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3 years ago
Plz tell me how u got it and hurry please
Studentka2010 [4]
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

I first multiplied 490 by 3/7

giving me 1470/7

I divide 1470 by 7 giving me 210

As I got 210

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