Consider the two polynomials and

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the two polynomials

p(x)=4x^{6}-3x^{2}+1

and

q(x)=-5x^{7}+x^{3}-2

. Which of the two grows faster in magnitude as

x\to\infty

? State the feature of each polynomial that justifies your answer.