Answer:
The correct Option is C). quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6
Step-by-step explanation:
Given : f(x) = (3x + 2)(-6x - 3)
Now, f(x) = -18x² -9x -12x - 6
⇒ f(x) = -18x² - 21x - 6
Now, since the highest degree of the given function f(x) is 2 so the function f(x) is quadratic.
Now, quadratic term is one which has highest power x = 2 So, quadratic term = -18x²
Linear term is one which has power x = 1 So, linear term = -21x
Constant term is one which has power of x = 0. So, constant term = -6
Hence, The correct Option is C). quadratic function; quadratic term: −18x²; linear term: −21x ; constant term: −6