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kirza4 [7]
3 years ago
14

What is the complete factorization of the polynomial below? x3 + x2 + 4x + 4

Mathematics
1 answer:
suter [353]3 years ago
5 0

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

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Show work please !!!
aleksklad [387]

Answer:

512x⁴y¹²

Step-by-step explanation:

its a cube so length x width x height

8xy⁴ times 8xy⁴ times 8xy⁴ is 512x³y¹²

5 0
3 years ago
What are the solutions of x2 = 8 - 5x?
jonny [76]

Answer:

That can be re-written:

x^2 + 5x -8 = 0

We use the Quadratic Formula

a=1

b = 5

c = -8

x = [-b +- sq root (b^2 - 4ac) ] / 2a

x = [-5 +- sq root (25 - - 32)] / 2

x1 = [-5 + sq root (57)] / 2

x1 = 1.27491722

x2 = [-5 - sq root (57)] / 2

x2 = -6.2749172176

Step-by-step explanation:

5 0
3 years ago
Mr.Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary after his raise?
miv72 [106K]
(sorry if this is wrong but hope this helps)

ANSWER: $27.60

STEP BY STEP:

You have to multiply 24 by 15%. Start by changing 15% into a decimal of .15. Then multiply 24 by .15 to get an answer of $3.60. This is how much more Mr. Jimerson will earn. Then add the original amount he earned by the amount the is now gaining. This gets you $27.60.
6 0
3 years ago
Graph x > 2
Andrews [41]

Answer:

Bottom left

Step-by-step explanation:

Because when you draw the graph you see that x is larger than 2 , and 2 is not including in the solution so, we just make a small lines (forget the y-axis).

I hope that it's a clear solution and explanation.

3 0
3 years ago
A laundry basket contains 8 white t-shirts and 6 black t-shirts. What is the probability of randomly picking a black t-shirt fro
MissTica

Answer:

30/182 = 15/91.

Step-by-step explanation:

<u>PROBABILITY:</u> the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

8 0
3 years ago
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