Find the degree of the polynomial 2x^4y^2+9x^2y^5-3x^4y^4
2 answers:
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.
You might be interested in
The given ratio is:
To find the unit cost per ounce, we can use proportions as follows:
Now, solve for x:
The cost per ounce (unit cost) is then $0.12/oz
The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.
<h3>What is graphing utility?</h3>A graphing calculator is a portable computer that can plot graphs, solve multiple equations at once, and carry out other variable-related activities.
We have points shown in the coordinate plane.
As the window of a graphing utility is set at:
X(min) : -6
X(max): 6
Y(min) : -6
Y(max) : 6
The points out of 6 will not be visible.
We can draw a square as shown in the attached picture.
The points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible.
Thus, the points D(-7, 5), E(-8, -3), and H(10, -5) will not be visible the answers are D, E, and H.
Learn more about the graphing utility here:
#SPJ1
