Math  /  Algebra

QuestionDescribe the end behavior of a 14th 14^{\text {th }} degree polynomial with a positive leading coefficient.
Describe the end behavior of a 9th 9^{\text {th }} degree polynomial with a negative leading coefficient.

Studdy Solution
As x x \to -\infty , the polynomial P(x) P(x) \to \infty .
The end behavior of the 14th degree polynomial with a positive leading coefficient is: - As x x \to \infty , P(x) P(x) \to \infty . - As x x \to -\infty , P(x) P(x) \to \infty .
The end behavior of the 9th degree polynomial with a negative leading coefficient is: - As x x \to \infty , P(x) P(x) \to -\infty . - As x x \to -\infty , P(x) P(x) \to \infty .

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