SOLUTION: Is the algebraic expression a polynomial? If so, give its degree. 9x3 + 6x6 + 8

Question 318354: Is the algebraic expression a polynomial? If so, give its degree.
9x3 + 6x6 + 8
Found 2 solutions by solver91311, nyc_function:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

A polynomial is an expression of finite length constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative, whole-number exponents.

Looks very polynomial-like to me. Let's see

Finite length √
Constants and variables √
only Addition, Subtraction, and Multiplication √
All exponents are non-negative whole numbers √

Passes all of the tests. Add the exponents in each term. First term 3: Second term 6: Third term: 0. Highest is 6, degree of the polynomial is therefore 6.

Super Double Plus Extra Credit:

Is a polynomial?

John

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The expression 9x^3 + 6x^6 + 8 is a polynomial and it is a 6th degree polynomial because the biggest exponent that it has is 6.

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