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evablogger [386]
3 years ago
9

Factor the trinomial 3x ^ 2 + 8x + 4

Mathematics
1 answer:
zvonat [6]3 years ago
5 0

Answer:

(3x+2) (x+2)

Step-by-step explanation:

For a polynomial of the form ax^2 + bx + c  and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8

Factor 8 out of 8x

  3x^2 + 8 (x) + 4

Rewrite 8 as 2 plus 6

    3x^2 + (2+6) x + 4

Apply the distributive property

   3x^2 + 2x + 6x +4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3x^2 + 2x) + 6x + 4

Factor out the greatest common factor (GCF) from each group.

x(3x+2) + 2(3x+2)

Factor the polynomial by factoring out the greatest common factor,

3x + 2.

Answer: (3x+2) (x+2)

Hope that helps! :)

⋅

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liberstina [14]
The 15th term will be 71. Why? Well, see below for an explanation!

By subtracting all of these numbers by the term that comes prior to them, we will find that all of them result in 5. Because of this, we know that each time the term increases, 5 is being added to the numbers. Additionally, I noticed that all of the numbers in this arithmetic sequence only end in a 1 or a 6. Because of this, we can apply the same principle when adding 5 each time:

First term: 1
Second term: 6
Third term: 11
Fourth term: 16
Fifth term: 21
Sixth term: 26
Seventh term: 31
Eighth term: 36
Ninth term: 41
Tenth term: 46
Eleventh term: 51
Twelfth term: 56
Thirteenth term: 61
Fourteenth term: 66
Fifteenth term: 71

By adding 5 each time and keeping in mind that the digits all end in only 1 or 6, we will find that the fifteenth term results in 71. Therefore, the 15th term is 71.

Your final answer: The 15th term of this arithmetic sequence comes down to be 71. If you need extra help, let me know and I will gladly assist you.
4 0
2 years ago
a worker earn $200 if she put $150 into a savings account what percent of her earnings did she put into a savings account
Allisa [31]
He put 3/4 back into his savings.
6 0
3 years ago
Read 2 more answers
What is the value of X I don’t understand this
mash [69]

Answer:

X=4

Step-by-step explanation:

28+8=36

36/9=4

9*4=36

36-8=28

x=4

4 0
3 years ago
What is the range of the relation, {(2, 8) (-3, -1) (4, -7) (5, 0) (-1, 2)}? create the range for the relation.
ivanzaharov [21]

The range is all the second values or ys

[-7, -1, 0, 2, 8]  


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3 years ago
If 2n = 54/9 then n = ______
Fantom [35]

Answer:

1). 3

2). 6

3). 9

Step-by-step explanation:

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