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scoray [572]
3 years ago
5

Write f(x) in the form (x-k)q(x)+r, given that k=-2. f(x)=3x^4+4x^3-10x^2+15

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
You may perform the division using either long division or synthetic division.  Any preference?

I used synthetic div. with -2 as the divisor:

      ________________
-2  /  3   4   -10   0   15
             -6     4   12  -24
        -------------------------
        3    -2   -6    12   -9

In factored form, with remainder, we then have:

   (x+2)(3x^3 - 2x^2 - 6x + 12)   remainder -9

If you need clarification of any part of this solution, let me know.
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Can some one answer this plz ill give !100 POINTS!
Lorico [155]
Hello!

First of all let's find the perimeter (circumference) of the semi circles. We can combine them to make one circle with a diameter of 4 (as we can see the side length of one semi circle is 4 cm. We now plug it into the circumference equation (\pi=3.14).

4(3.14)=12.56

Now we add up the side lengths of the rectangle.

4+6+4+6=20

Now we add up the length of our circle and rectangle.

20+12.56=32.56

Therefore our answer is 32.56 cm.
----------------------------------------------------------

Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.

A=\pir²

First we will square our radius.

2(2)=4

Now we multiply by pi.

4(3.14)=12.56

Now we need to find the area of the rectangle.

6(4)=24

Now we add.

24+12.56=36.56.

 
I hope this helps!

8 0
3 years ago
Read 2 more answers
A worker has dug 5 holes for a fence post. It will take 20 minutes to dig each addional
anzhelika [568]

Answer:

it 100

Step-by-step explanation:

firs take the zero then time with the 5 it would give 10 n

then add the zero so 100

5 0
2 years ago
Jacob won 62 super bouncy balls playing
Alinara [238K]

Answer:

30

Step-by-step explanation:

62 = 2x+2

62-2 = 60

60/2 = 30

7 0
3 years ago
Hello i would really appreciate it if you help!
umka21 [38]
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8 0
2 years ago
Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36 .
adoni [48]

Answer:

  • (2x + 5)/(x - 9)
  • 3. quantity 2 x plus 5 over x minus 9

Step-by-step explanation:

Quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36

  • (2x² + 13x + 20)/(x² -5x - 36) =
  • (2x²+ 5x + 8x + 20)/(x² - 9x + 4x -36)=
  • (2x + 5)(x + 4)/(x - 9)(x + 4) =
  • (2x + 5)/(x - 9)

Correct option is option 3

3 0
3 years ago
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