Mathematics, 09.02.2021 01:00 johncena1001

Trevor is having trouble understanding how the degree of a nonzero constant is 0. Use the expression 3x^0 to help explain this concept to Trevor. A. The degree of a monomial is the sum of the number of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0.
B. The degree of a monomial is the coefficient of its variable. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Since the expression has no variables, the degree of the nonzero constant 3 is 0.
C. The degree of a monomial is always zero. Therefore, the degree of the nonzero constant 3 is 0.
D. The degree of a monomial is the sum of the exponents of its variables. In the expression 3x^0, the value of the exponent is 0. Any number or variable raised to the power of 0 is 1. So, 3x^0 is equivalent to 3(1), or 3. Therefore, the degree of the nonzero constant 3 is 0.

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