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maxonik [38]
3 years ago
14

Polynomial division

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
This is a great place and time to apply synthetic division.  Since you are dividing the 3rd order poly by (a+2), let the divisor in synth. div. be -2.

Then:
      _________________
 -2 /   1   6   12    8

     _____-2_-8    -8____________
          1   4     4     0

Since there is no remainder, -2 is a root and (x+2) is a factor of the poly.

The quotient comes from  those coefficinets 1  4  4  

and is    1a^2 + 4a + 4, whose factors are (a+2)^2.
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Answer:0.64

Step-by-step explanation:

The moderate negative correlation cannot be close to zero or -1

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3 years ago
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According to the table, which ordered pair is a local minimum of the function, f(x)?
sveticcg [70]

Answer:

Option D

Step-by-step explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

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3 years ago
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Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra
ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

            Greg swam 16 kilometers with the current.

            Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= (x-3)\ kmph

   Speed of swimming with current= (x+3)\ kmph

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, Time= \frac{Distance}{Speed}

⇒ \frac{4}{(x-3)} = \frac{16}{(x+3)}

Multiplying both side by (x+3) and (x-3)

⇒4\times (x+3)= 16\times (x-3)

Using distributive property of multiplication.

⇒ 4x+12= 16x-48

Subtracting both side by 4x and adding by 48.

⇒60= 12x

Dividing both side by 12

⇒x= \frac{60}{12} = 5\ kmph

Hence, Greg can swim at the rate of 5kmph with no current.

7 0
3 years ago
Please answer! ill give you brainliest :)
Levart [38]

Answer:

answer what?

Step-by-step explanation:

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2 years ago
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Pls help What is true about the following sequence: 2.7, 6.5, 10.3, 14.1, 17.9*
RSB [31]

Answer:

<em>D.) It has a common difference of 3.8</em>

Step-by-step explanation:

When you subtract a_{2} -a_{1} you get a common difference, the same goes for the other values: when you subtract the previous term from the next, you get a common difference of positive 3.8

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