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DaniilM [7]
2 years ago
10

Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer

in descending powers of x.
(x 3 - 4x 2 + 4x - 1) ÷ (x -1)

Mathematics
2 answers:
Marianna [84]2 years ago
7 0

Answer:

The given division is

(x^{3}-4x^{2}  +4x-1) \div (x-1)

To divide this using synthetic division we first need to right it down in a division-like format. We do that, by just using coefficients of the dividend, in this case, 1, -4, 4 and -1.

Then, we right down the first coefficient as it's shown in the first image. As second step, we must multiply the entry in the left part of the division format by each entry under the horizontal line, this results we write it down under the next coefficient and do the sum, this process repeats over and over until we get zero as a result of the synthetic division.

The second image shows the complete process, which give the result.

Therefore, the division is

(x^{3}-4x^{2}  +4x-1) \div (x-1)=x^{2} -3x+1

Alenkinab [10]2 years ago
4 0

Answer:

The quotient is x^2-3x+1

Step-by-step explanation:

The given polynomial division is (x^3-4x^2+4x-1)\div (x-1)

To perform the synthetic division we write out the coefficients and arrange them as shown.

  1   -4   4   -1

<u>1 |     1    -3   1</u>

   1   -3   1    0

The quotient is x^2-3x+1

The descending powers of x means from highest degree to the least

The remainder is 0

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{24, 95, 76, 60, 15, 48, 80, 75}<br> a.<br> Mean =<br> b.<br> Median<br> c.<br> Mode =
sp2606 [1]

Answer:

a)59.125, b)67.5, c)None

Step-by-step explanation:

Mean = All values added up and divided by the number of values
\frac{24+95+76+60+15+48+80+75}{8}

Median = Put all numbers in order from least to most and use the middle one, if there are two, use the mean of those two
15, 24, 48, 60, 75, 76, 80, 95. The middle ones are 60 & 75 so \frac{60+75}{2}

Mode = The number that repeats more times. In this case none of them repeat.

8 0
2 years ago
Why would someone want to factor a polynomial? Provide real-world examples of different questions we can answer or factors we ca
IgorC [24]

Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors.

<u>Explanation:</u>

Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes: Finding the greatest common factor.

Factoring (called "Factorizing" in the UK) is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

6 0
3 years ago
What else would need to be congruent to show that abc = xyz by asa
pochemuha
Since you're working with the ASA postulate, you're looking to show congruence of the angles at either end of a side. You're given side AC and angle A as congruent with their counterparts. Obviously, you also need to show congruence of angle C with its counterpart, angle Z.

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6 0
3 years ago
The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?
Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
8 0
3 years ago
Solve: x³-7x²+36=0.​
Aliun [14]

Answer:

3,6,-2

Step-by-step explanation:

a+2a+b = 7

2a^2b = -36

a*2a + ab + 2ab = 0

or, a(2a+3b) = 0

so, b = -2a/3

Solve those and you find 3,6,-2

3 0
3 years ago
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