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Alinara [238K]
3 years ago
14

Is this factorable please help me.

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
This can be factored into (2t - 9)(t + 7)
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Use the long division method to find the result when x^3+7x^2+12x+6x 3 +7x 2 +12x+6 is divided by x+1x+1. If there is a remainde
Aliun [14]

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

\ \ \ \ \ \  \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \  {} \ {}  \  \ {} \  {} \ {}  \ {} \  {} \ {}   \ {}     \ \ x^3 + 2 \cdot x^2 \\\  \ \ \ {} \   \ {} \  {} \ {}   \  \ {} \ {} \  \   \ {} \  {} \ {}  \  \ {} \  {} \ {}  \ \ 5 \cdot x^2 + 12\cdot x + 6\\  \ {} \  {} \ {}    \ {} \  {} \ {}  \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form q(x) + \dfrac{r(x)}{b(x)}, we have;

(x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) =  x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}

4 0
3 years ago
A fishing boat has raidoed the Coast guard for a helicopter to pick up and injured crew member. at the same time of the emerginc
leonid [27]

Answer:

2 hours

Step-by-step explanation:

The question is asking us to get the meeting point of the two and at what time would they arrive here given their individual speeds. Now what needs to be done here is first add their average speeds.

The total average speed = 325 + 25 = 350km/h

Now the distance the helicopter would have traveled would be ; 325/350 * 700 = 650km

The remaining distance left for the boat would be 700 - 650 = 50km

Now the time taken for this would be 650/325 or 50/25 = 2hours

7 0
3 years ago
Read 2 more answers
A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the​ playground?
nadya68 [22]
You can think of a square as two isosceles right angle triangles and use Pythagoras.

x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2

One side of the playground is 11√2 m long.
5 0
4 years ago
Please help 16 points you will get marked brainiest if you show me how to do it<br> :)
Likurg_2 [28]
.37 is the answer to the question
3 0
3 years ago
Read 2 more answers
Divide ₹960 between Manu and Swapna in the ratio 5: 7
il63 [147K]

Ratio gives the fractional division of a whole into a given portion. Manu's will get 400 while Swapna will get 560.

To divide 960 in the ratio 5 : 7

  • Sum the ratio = (5 + 7) = 12
  • Manu's share = 5 × (960/12) = 400

  • Swapna's share = 7 × (960/12) = 560

Therefore, Manu and Swapna's share is 400 and 560 respectively.

Learn more : brainly.com/question/13218948

5 0
3 years ago
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