The degree of a polynomial is the greatest exponent of a term.
The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. the total of the powers of all variables in the term is the degree of the polynomial. The degree can also be specify as a order. The degree of a polynomial is for the single variable or the combination of two or more variables with the powers.
About Degrees for some Terms:
According to the degree of a polynomial function the names are assigned.
The name of the zero degree polynomial is constant.
The name of the 1 degree polynomial is linear.
The name of the 2 degree polynomial is quadratic.
The name of the 3 degree polynomial is cubic.
The name of the 4 degree polynomial is quartic
The name of the 5 degree polynomial is quintic.
The multiplicative inverse 1/a have degree -1
The square root has a degree as ½
The logarithm has a degree as 0, example log b.
The exponential function’s degree is infinity.
Example:
Using one variable:
Let us consider the polynomial, 8x^3+7x^4+6x^2+5x+1.
The degree of the first term is 3.
The degree of the second term is 4
The degree of the third term is 2
The degree of the fourth term is 1 and
The degree of the last term is 0.
Here the greatest degree among all the degrees is 4. So the degree of the polynomial
8x^3+7x^4+6x^2+5x+1 is 4. Is it still Confusing need more help to improve Knowledge of Math
The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. the total of the powers of all variables in the term is the degree of the polynomial. The degree can also be specify as a order. The degree of a polynomial is for the single variable or the combination of two or more variables with the powers.
About Degrees for some Terms:
According to the degree of a polynomial function the names are assigned.
The name of the zero degree polynomial is constant.
The name of the 1 degree polynomial is linear.
The name of the 2 degree polynomial is quadratic.
The name of the 3 degree polynomial is cubic.
The name of the 4 degree polynomial is quartic
The name of the 5 degree polynomial is quintic.
The multiplicative inverse 1/a have degree -1
The square root has a degree as ½
The logarithm has a degree as 0, example log b.
The exponential function’s degree is infinity.
Example:
Using one variable:
Let us consider the polynomial, 8x^3+7x^4+6x^2+5x+1.
The degree of the first term is 3.
The degree of the second term is 4
The degree of the third term is 2
The degree of the fourth term is 1 and
The degree of the last term is 0.
Here the greatest degree among all the degrees is 4. So the degree of the polynomial
8x^3+7x^4+6x^2+5x+1 is 4. Is it still Confusing need more help to improve Knowledge of Math
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