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jarptica [38.1K]
3 years ago
12

Can it perform algebra

Mathematics
1 answer:
Ronch [10]3 years ago
6 0
Can what perform algebra?
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(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
2 years ago
What is the decimal equivalent of 37%
trasher [3.6K]

37 \div 100 = 0.37 \\
0. 37 is the answer
3 0
3 years ago
Read 2 more answers
What is the area of a square with a side length of 7 feet ? <br><br> HELP
Stells [14]

Answer:

49 square feet

Step-by-step explanation:

Area of square

=  {7}^{2}  \\  \\  = 49 \:  {ft}^{2}  \\

4 0
3 years ago
Destiny bought 10 1/2 yards of material for costumes for the city pageant she will use one and 140 yards of the material to make
Ray Of Light [21]

Answer:

She can complete 8 costumes

Step-by-step explanation:

6 0
3 years ago
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is t
AfilCa [17]

Answer:

as shown in the attached file.

Step-by-step explanation:

The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.

4 0
3 years ago
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