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2 answers:
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Answer:
the polynomial has degree 8
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6
2) term contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7
3) term contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8
This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.
Answer:
The students can group themselves in 360360 ways
Step-by-step explanation:
For this exercise we need to use the following equation:
This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell
In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:
Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.
Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.