How does the structure of a trinomial with a leading coefficient of 1 and a positive constant help to factor it?
1 answer:
Answer:
See explanation
Step-by-step explanation:
If a quadratic trinomial has a leading coefficient of 1 and a positive constant, then it is very easy to factor.
You just have to look for two factors of the constant term that add up to the coefficient of x( the middle term).
Then you write as factors.
For instance;
To factors of 6 that add up to 5 are 2 and 3.
Therefore the factorization is:
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<h2>Answer with explanation:</h2>
The number of letters in word "ALGORITHM" = 9
The number of combinations to select r things from n things is given by :-
Now, the number of combinations to select 6 letters from 9 letters will be :-
Thus , the number of ways can six of the letters of the word ALGORITHM=84
The number of ways to arrange n things in a row :
So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-
If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7
Number of ways to arrange 9 letters if "GOR" comes together :-
Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040