On arranging from least to greatest based on their degree:
[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]
Solution:
Given that,
Organize the following polynomial expressions from least to greatest based on their degree
Degree of polynomial is highest power of the variable in the algebraic expression
For polynomial with more than one variable, find the degree of each monomial and then add them and choose the largest exponent
[tex]I) x + 2xyz \\\\Degree\ of\ x = 1\\\\Degree\ of\ 2xyz = 1 +1 + 1 = 3[/tex]
Thus degree is 3
[tex]II) 9x^3y^2\\\\Degree = 3 + 2 = 5[/tex]
Thus degree is 5
[tex]iii) 18x^2 + 5ab - 6y\\\\Degree\ of\ 18x^2 = 2\\\\Degree\ of\ 5ab = 1 + 1 = 2\\\\Degree\ of\ 6y = 1[/tex]
Thus degree is 2
[tex]iv) 4x^4 + 3x^2 -x-4\\\\Degree\ of\ 4x^4 = 4\\\\Degree\ of\ 3x^2 = 2\\\\Degree\ of\ x = 1\\\\Degree\ of\ 4 = 0 (since\ degree\ of\ constants\ is\ 0)[/tex]
Thus degree is 4
On arranging from least to greatest based on their degree:
[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]
