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Tasya [4]
1 year ago
10

Factories completely 2x * (2x + 1) ^ 2 + (2x + 1)(4x ^ 2 - 3)

Mathematics
1 answer:
alexgriva [62]1 year ago
5 0

The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

<h3>How to factor an algebraic equation</h3>

In this question we have an <em>algebraic</em> expression to be expanded by means of <em>algebraic</em> properties, the purpose of this handling is to modify the polynomial until its <em>standard</em> form is finally obtained and later we find its <em>factor</em> form by Cardano's method. Now we proceed to show the procedure in detail:

2 · x · (2 · x + 1)² + (2 · x + 1) · (4 · x² - 3)     Given

2 · x · (4 · x² + 4 · x + 1) + (2 · x + 1) · (4 · x²) + (2 · x + 1) · (- 3)      Perfect square trinomial/Distributive property

8 · x³ + 4 · x² + 2 · x + 8 · x³ + 4 · x² - 6 · x - 3     Distributive property/(- 1) · a = - a

16 · x³ + 8 · x² - 4 · x - 3     Distributive property/Definitions of addition and subtraction

(x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242)      Cardano's method/Result

The <em>factored</em> form of the polynomial is (x - 0.556) · (x + 0.528 - i 0.242) · (x + 0.528 + i 0.242).

To learn more on polynomials: brainly.com/question/11536910

#SPJ1

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g Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 36% of al
Llana [10]

Answer:

The answer is below

Step-by-step explanation:

Let S denote syntax errors and L denote logic errors.

Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56

a) The probability a program contains both error types = P(S ∩ L)

The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L)  - P(L) = 56% - 47% = 9%

The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L)  - P(S) = 56% - 36% = 20%

P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%

b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

c)  The probability a program has logic errors, but not syntax errors =   P(S' ∩ L) = P(S ∪ L)  - P(S) = 56% - 36% = 20%

d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44

6 0
3 years ago
Read 2 more answers
Please explain and tell me how to do it please
dsp73

The answer is b) y = 3x + 3.

To find this, we first need to find the slope. The slope formula is listed below.

m = (y2 - y1)/(x2 - x1)

In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.

m = (y2 - y1)/(x2 - x1)

m = (12 - 9)/(3 - 2)

m = 3/1

m = 3

Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.

y = mx + b

9 = 3(2) + b

9 = 6 + b

3 = b

When we use the slope and intercept together to get the equation. y = 3x + 3

8 0
2 years ago
Factor −1/2−1/2 out of −1/2x+6.
pochemuha
That's unusual:  repetition:  -1/2 - 1/2.

Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?

Let's do that.  Let's rewrite 6 as (-1/2)(-12).

Then (-1/2)x + 6       (-1/2)x -(1/2)(-12)
         --------------  =  ------------------------  = x - 1/2
             -1/2                     -1/2

Hope that's what you wanted.  If not, please try to apply a similar approach to solving this particular problem.

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Answer:

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Step-by-step explanation:

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