

Degree of Polynomial The degree is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial. Note: Ignore coefficients  coefficients have nothing to do with the degree of a polynomial
Related: Polynomial Home  Degree of Polynomial  Add and Subtract Polynomials  definition of coefficient  definition of exponent
Problem 1)
What is the degree of the following polynomial x^{2 }+ x + 3?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 2 since the first term is squared
Problem 2)
Determine the degree of the polynomial 3x^{2} + x + 33?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 2 since the first term is squared . Remember coefficients have nothing at all do to with the degree.
Problem 3)
What is the degree of the polynomial x^{3 }+ x^{2} + 4x + 11?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 3 since the that is the largest exponent
Problem 4)
What is the degree of the following polynomial 5x^{3} + 2x +3?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 3. Remember ignore those coefficients.
Problem 5)
What is the degree of the following polynomial 11x^{9} + 10x^{5} + 11?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 9. Remember ignore those coefficients.
Problem 6)
What is the degree of the polynomial 7x^{3} + 2x^{8} +33?
the answer is 8. Be careful sometimes polynomials are not ordered from greatest exponent to least. Even though 7x^{3} is the first expression, its exponent does not have the greatest value.
Problem 7)
What is the degree of the following polynomial 5x^{8}+ 2x^{9} ^{}+ 3x^{11} +2x ?
Just use the 'formula' for finding the degree of a polynomial. ielook for the value of the largest exponent
the answer is 11. Remember ignore those coefficients.
Problem 8)
What is the degree of the polynomial x^{2} ^{}+ x + 2^{3} ?
the answer is 2. Do NOT count any constants("constant" is just a fancy math word for 'number'). IE you do not count the '2^{3}' which is just another way of writing 8. 