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kodGreya [7K]
3 years ago
11

Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

Question 1:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question 2:  Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1:  Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

<em>2x^2(x - 3)(x^2 + 3x + 9)</em>

<em />

Answer:  Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

<u>Step 1:  Factor</u>

4x^6 + 32x^3

4x^3(x^3 + 8)

<em>4x^3(x + 2)(x^2 - 2x + 4)</em>

<em />

Answer:  Options 1, 2, 5

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Following on what I said for option a, option b is correct as the coefficient before the x term is -7/8. Therefore the answer is B.

The answer is not C as when x = 0, y is not 0. This means the line does not pass through the origin (0,0)

Option D is not true aswell. When x = 1, y= 9.125. When x= 2, y= 8.25. When x=3, y= 7.375. X is increasing whereas y is decreasing. Therefore option D is ruled out.

The answer is option B.

I hope this has helped you.

Please mark as brainliest if you are happy with this explanation. Have a great day!
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