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UNO [17]
1 year ago
13

Divide the polynomials: x^2-3x+9/x-2

Mathematics
1 answer:
Kruka [31]1 year ago
5 0

The value of dividing x^2-3x+9 by x-2 is x + 3

<h3>Ways of dividing polynomials</h3>

There are several ways to divide polynomial functions; some of these ways include

  • By factorization
  • By long division
  • By synthetic division
  • By using technology such as graph

<h3>How to divide the polynomials?</h3>

The expression for the polynomial division is given as:

x^2-3x+9/x-2

To divide polynomial functions, we make use of the division by factorization method

Start by expanding the numerator of the polynomial division

x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2

Factorize the equation

x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2

Factor out x + 3 from the numerator

x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2

Cancel out the common factors

x^2-3x+9/x-2 = x + 3

Hence, the value of dividing x^2-3x+9 by x-2 is x + 3

Read more about polynomial division at:

brainly.com/question/25289437

#SPJ1

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There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number
Burka [1]
Let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.

consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

1st even number = 2n
2nd even number = 2n + 2
3rd even number = 2n + 4

twice the first number (2n) is 20 more then the second (2n + 2).

2(2n) = 2n + 2 + 20

4n = 2n + 22

4n - 2n = 22

2n = 22

n = 11

Now use n = 11 to find the 3 consecutive even numbers.

1st even number = 2(11) = 22
2nd even number = 2(11) + 2 = 24
3rd even number = 2(11) + 4 = 26

22, 24, 26
3 0
3 years ago
Each day that Samantha rides the train to work, she pays $4.00 each way. If Samantha takes the train to work and back 3 times, w
deff fn [24]

Answer:

Total ticket expenses = $24

Step-by-step explanation:

Given:

Each way cost = $4

Total ways = 3 x 2 = 6 times

Find:

Total ticket expenses

Computation:

Total ticket expenses = Each way cost x Total ways

Total ticket expenses = 4 x 6

Total ticket expenses = $24

3 0
2 years ago
Dam, the days are only getting harder. I hope none of y'all are as stressed as me. And if you are, just know it gets better. Som
QveST [7]
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4 0
2 years ago
Read 2 more answers
Which statement is accurate for the right triangle shown below?<br> Ꮎ<br> 50<br> 1<br> a<br> 47
jeka57 [31]

Answer:

The statement that is accurate is csc(θ)=1.06

Step-by-step explanation:

Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.

Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.

So:

cotθ=adjacent/opposite = 17/47= 0.36

cscθ=hypotenuse/opposite = 50/47=1.06

Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06

Therefore, the statement that is accurate is csc(θ)=1.06.

6 0
3 years ago
Which description is correct for the polynomial 2x^2 +2
boyakko [2]

It is a polynomial with degree 2, with leading coefficient 2 and constant term 2. It has no linear coefficient. Its graph is a parabola.

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3 years ago
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