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Whitepunk [10]
4 years ago
9

Is 12n2+12n+1 prime over the set of polynomials with rational coefficients? Need help ASAP

Mathematics
1 answer:
professor190 [17]4 years ago
8 0

Answer:

No, the given polynomial is not prime.

Step-by-step explanation:

Given: a polynomial 12n^2+12n+1

To check: whether the given polynomial is prime or not.

Solution:

A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.

In the given polynomial, coefficients are integers.

Also, the polynomial 12n^2+12n+1 cannot be factored further into polynomials of lower degree.

So, the given polynomial is not prime.

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How do work this out
BabaBlast [244]
We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35. 

Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.

So split the 2r into these two terms and group.

(5r^2 - 5r) + (7r - 7)

Factor both groups.

5r(r-1) + 7(r-1)

The factors of (r-1) can be added together to get the answer.

(r-1)(5r+7)
6 0
3 years ago
Solve 4e^2x-3=12 please help
Anestetic [448]

4*e^{2x} -3 = 12

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

4*e^{2x} = 12+3

4*e^{2x} = 15

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

e^{2x} = 15/4

e^{2x} = 3.75

Step 3:

taking log on both sides

ln ( e^{2x}) = ln(3.75)

{2x} =ln 3.75

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..


5 0
3 years ago
Read 2 more answers
4(3x+5)=6(x+8)-x someone please help me with this equation
zvonat [6]

Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

7 0
3 years ago
Read 2 more answers
I need help with problem
topjm [15]
D + q = 40
.10d +.25q= $7.75

d +q = 40
d =40-q
.10(40-q) +.25q= $7.75
4 - .10q + .25q =7.75
4 +.15q =7.75
4-4 +.15q =7.75-4
.15q= 3.75
.15q/.15 = 3.75/.15
q = 25

d =40-25
d = 15

Check
.10(15) +.25(25)= $7.75
1.5+6.25=7.75
7.75=7.75
8 0
3 years ago
A company makes plastic baseballs. They put 6 baseballs nackage. Which teple shows the values for Op, the number of baseballs in
creativ13 [48]

Answer:

Table C

Step-by-step explanation:

Given

1\ package = 6\ balls

Required

Which table is correct

We have:

1\ package = 6\ balls

For 7 packages, it will be:

7\ packages = 42\ balls --- i.e. 6  * 7

For 8:

8\ packages = 48\ balls --- i.e. 8 * 7

For p packages

f(p) = 6p

<em>Using the above formula, we can conclude that table (C) is correct</em>

5 0
3 years ago
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