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AleksAgata [21]
3 years ago
6

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

p(-5/3) ≠  0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is p(x)=3x^5+2x^2 - 5

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x +  5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then,  x = -5/3, p(x)  =0 ⇒   ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

p(x)=3x^5+2x^2 - 5  \implies p(\frac{-5}{3})  = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9})  - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9})  - 5\\= -38.580 + 5.56  - 5  =  -38.02\\\implies p(\frac{-5}{3})  = -38.02

Now, as p(-5/3) ≠  0 So, (3x +5) is NOT A FACTOR of p(x)

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In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

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The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

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So if we change 15 N to lb by using slug and ft

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15 N = 3,375 lb

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