Organize the following polynomial expressions from least to greatest based on their degree:
1 answer:
Answer:
Step-by-step explanation:
We have to organize the given polynomials from the least to greatest based on their degrees.
A). x + 2xyz
Here xyz =
Power of x is = 1
Power of y = 1
and power of z = 1
So degree of (x + xyz) will be degree of the highest degree term = 1 + 1 + 1 = 3
B). 9x³y²
Degree of this term = power of x + power of y = 3 + 2 = 5
C). 18x²+ 5ab - 6y
Degree of the polynomial = Highest degree of the variable x = 2
D).
Degree of highest degree term = 4
So sequence of the polynomials based on their degrees will be
C - A - D - B [From lowest to highest]
You might be interested in
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
Where, a is a constant and are the roots of the polynomial.
Polynomial roots are 1 and 2. So, and
are the factors of the polynomial.
Let the third root of the polynomial by c, then is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
The graph passes through the point (4,5). Putting , we get
Divide both sides by 48.
Therefore, the 3rd root on the polynomial is .