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Fofino [41]
3 years ago
14

Is x-3 a factor of x- 9x² - 14x + 24?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

9514 1404 393

Answer:

  no

Step-by-step explanation:

We assume you are concerned with the cubic

  x³ -9x² -14x +24

Its factors are all irrational, as shown in the attached graph. x-3 is not a factor.

__

x-3 is a factor if the expression evaluates to zero when x=3. Here, it does not.

  ((x -9)x -14)x +24 for x=3 is ...

  ((3 -9)(3) -14)(3) +24 = (-18 -14)(3) +24 = -96 +24 = -72

The remainder from division by x-3 is not zero, so x-3 is not a factor.

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The correct answer to this question is <span>d.) integral from 1 to 2 of (2/(x+1))
</span>To solve this:

Since Δx = 1/n. 
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x <---> a + kΔx 

a = 0, then b = 1, so that Δx = (b - a)/n = 1/n

Since (1 + kΔx) combination, a = 1 so that b = 2. 
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This sum represents the integral 
∫(x = 1 to 2) (1/x) dx, so the correct answer is <span>d.) integral from 1 to 2 of (2/(x+1))

Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help. 
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3 years ago
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