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Ivanshal [37]
1 year ago
10

Factoring a quadratic with leading coefficient greater than 1 3n^2+5n+2=0

Mathematics
1 answer:
Alika [10]1 year ago
8 0

The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0.

<h3>What is an algebraic factor?</h3>

An algebraic factor is the multiplication of two algebraic terms.

The root of the quadratic equation formed by the algebraic factor is always real.

That term could be in form of summation multiplication or in subtraction.

As per the given quadratic equation,

3n²+5n+2=0

Let's 5n = 2n + 3n

3n²+ (3n + 2n) + 2 = 0

3n² + 3n + 2n + 2 = 0

(3n² + 3n) + (2n + 2) = 0

3n(n + 1) + 2(n + 1) = 0

(n + 1 )(3n + 2) = 0

Hence "The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0".

For more about the algebraic factor,

brainly.com/question/19426180

#SPJ1

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olya-2409 [2.1K]

Answer:

A) 33

Step-by-step explanation:

180 - 105= 75

75 + 72 + x = 180

147 + x = 180

x= 33

3 0
2 years ago
According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0
3 years ago
What kind of context clue provides the meaning of a word directly in the sentence?
____ [38]

Answer:

The answer is definition.

Hope i helped

3 0
3 years ago
A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west
Ratling [72]
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger. 
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle). 
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
3 0
3 years ago
Can anyone please help me find the length of X? <br>​
Alex_Xolod [135]

Solution:

<u>Note that:</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle

<u>Using the perimeter of the smaller triangle, solve for x.</u>

  • 2(Perimeter of smaller triangle) = Perimeter of larger triangle
  • => 2(3.5 + x + h) = 7 + 4 + 2h
  • => 7 + 2x + 2h = 7 + 4 + 2h
  • => 2x = 4
  • => x = 2

The length of x is 2 units.

8 0
2 years ago
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