SOLUTION: For the polynomial, -9x^4+6x^3-4x^2+2x-9 Complete the following table. Term____Coefficient___Degree of term ???________???__________??? 6x^3________6___________???

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For the polynomial, -9x^4+6x^3-4x^2+2x-9 Complete the following table. Term____Coefficient___Degree of term ???________???__________??? 6x^3________6___________???       Log On


   



Question 168055: For the polynomial,
-9x^4+6x^3-4x^2+2x-9
Complete the following table.
Term____Coefficient___Degree of term
???________???__________???
6x^3________6___________???
???________???__________2
2x_________???__________1
-9_________???__________???
What is the Degree of the Polynomial?
???
I have no clue on this, Please Help! Thank you

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
For any polynomial, the terms are simply separated by either a '+' or a '-'

Remember, the coefficient is the number that is right in front of the variable. Also, the degree of each term is simply equal to the exponent of the term. For example, the term -9x^4 has the number -9 out front of the variable, so the coefficient is -9. The exponent is 4, which means that the degree is 4.


So here's the completed table:



Term         Coefficient          Degree of term
-9x^4           -9                      4
6x^3             6                      3
-4x^2            -4                     2
2x               2                      1
-9              -9                      0





Note: the degrees of each term is decreasing by 1