Question

Consider the expression 15x^2 + 16x - 30. Identify the Terms, Coefficients, and the Constant.

a) Terms: 15x^2, 16x, -30; Coefficients: 15, 16, -30; Constant: -30
b) Terms: 15, 16, 30; Coefficients: 15x^2, 16x, -30; Constant: None
c) Terms: 15x^2, 16x, 30; Coefficients: 15, 16, 30; Constant: 30
d) Terms: 15, 16x, -30; Coefficients: 15x^2, 16, -30; Constant: -30

Answer 1

The terms of the quadratic equation 15x^2 + 16x - 30 are 15x^2, 16x, and -30. The coefficients are 15 and 16 for the variable terms, and the constant term is -30, making option (a) the correct identification.

Step-by-step explanation:

The expression 15x^2 + 16x - 30 is a quadratic equation, and it consists of several components that can be identified separately. The terms of the expression are the distinct elements separated by addition or subtraction signs. In this case, the terms are 15x^2, 16x, and -30. The coefficients are the numerical factors of the variable terms. Therefore, for the terms 15x^2 and 16x, the coefficients are 15 and 16 respectively. There is no coefficient for the term -30 as it is the constant term, which means it does not contain a variable. Thus, the correct identification of the terms, coefficients, and the constant is option (a): Terms: 15x^2, 16x, -30; Coefficients: 15, 16; Constant: -30.