Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. f(x) = 6x^2 + x − 12

Answer 1

f(x) = 6x² + x − 12

To determine the type of equation, look at the highest exponent on the x terms. Here it's x², which makes this a quadratic equation.

1. 6x² is the quadratic term (since the power is 2)
2. x is the linear term since the power (exponent) is 1 (note: x¹ = x)
3. 12 is the constant term (because there's no variable, x)

Answer 2

6x^2 + x -12 is a quadratic trinomial. Quadratic tells us that the term with the highest power is to the 2nd power. Trinomial tells us that there are three terms. The quadratic term is 6x^2, the linear term is x and the constant is -12.