Is 12n2+12n+1 prime over the set of polynomials with rational coefficients? Need help ASAP
1 answer:
Answer:
No, the given polynomial is not prime.
Step-by-step explanation:
Given: a polynomial
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 cannot be factored further into polynomials of lower degree.
So, the given polynomial is not prime.
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Answer:
15 games.
Step-by-step explanation:
Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?
Given: Admission fees= $1.25 per person.
Cost of each game played= $0.50.
Total Money, Latoya and Donnetta have is $10.
First lets find total admission fees both will pay.
∴ Total addmission fees=
Total addmission fees=
Now, money remaining after paying admission fees.
Money remaining =
∴ Money remaining =
∴ Money remained to play video games is $7.5.
Next, finding the maximum number of games, both will be able to play.
As we know, each game will cost $0.50.
Total number of games played=
⇒ Total number of games played=
∴ 15 games is the maximum number of games they will be able to play.
Given:
Consider the equation is:
Some steps of the solution are given.
To find:
The next step of the solution.
Solution:
Step 1: The given equation is:
Step 2: Simplifying right hand side.
Step 3: Simplifying left hand side.
These steps are already given. So, the next step is:
Step 4: Subtracting 3 from both sides.
Therefore, the correct option is (b).