Given the function:
f(x) = 2x - 5x² + x - 7
We are to determine:
leading term
leading coefficient
The degree of the polynomial
Then describe the end behaviour
The leading term = -5x²
The leading coefficient = -5
Degree of polynomial = degree 2
The end behaviour:
f(x) -----> -∞, as x -----> -∞
f(x) -----> -∞, as x -----> +∞