Question

In which polynomials does P(x) approach negative infinity as x approaches infinity?

There may be more than one correct answer. Select all correct answers.
P(x) = -3x4 + 5x2 +1
P(x) = -x2
P(x) = -6x5 + 8x4 - 10x3 + 10x2 - 4x + 2
P(x) = 7x2 +11x - 6
P(x) = x3+ x2 + x
P(x) = -10x +9

Answer 1

all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x

Explanation:

All answers with a negative slope in the highest order polynomial will approach negative infinity as x approaches infinity. This means that all are answers except P(x) = 7x^2 +11x - 6 and P(x) = x^3+ x^2 + x