This statement is false. The absolute degree of a polynomial is the largest sum of the exponents of each term in the polynomial. For example, the absolute degree of the polynomial is 4 since the sum of the exponents for the first term is 2+2=4, the sum of the exponents for the second term is 1+2=3, and the third term has a sum of 2. Since 4 is the largest sum, the absolute degree of the polynomial is 4.
This statement is false. The relative degree of a polynomial with respect to a variable is the largest exponent of that variable. For example, the relative degree with respect to xx of the polynomial is 3 since the largest exponent for the variable of xx is 3.
This statement is true. If the terms have the same variables and exponents, then the terms are similar.
This statement is false. The opposite of a polynomial is obtained by only changing the signs of the coefficients. You do not find the reciprocals of the coefficients.
This statement is true. The independent term, or constant term, is the term that has a literal part that is degree zero. For example, the independent term of the polynomial is 4 because the term 4 has a degree of 0 since .
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