Exercises with Answers

562 Chapter 6 Polynomial Functions
6.1 Answers
1. p(x) = −x 3 −x 2 +3x+4, degree = 3,
leading term = −x 3 , “p is a polynomial
with integer coefficients,” “p is a polynomial
with rational coefficients,” or “p is
a polynomial with real coefficients.”
21. Note that the leading term −3x 3
(dashed) has the same end-behavior as
the polynomial p.
y
10
3. p(x) = x 4 + 3x 2 − x − 4, degree = 4,
leading term = x 4 , “p is a polynomial
with integer coefficients,” “p is a polynomial
with rational coefficients,” or “p is
a polynomial with real coefficients.”
−10
x
10
5. p(x) = − 2 3 x5 − 3 2 x3 +5x+4, degree =
5, leading term = − 2 3 x5 , “p is a polynomial
with rational coefficients,” or “p is
a polynomial with real coefficients.”
−10
p(x)=−3x 3 +2x 2 +8x−4
7. p(x) = πx 6 + 2 3 x3 − √ 2x 2 −x, degree =
6, leading term = πx 6 , “p is a polynomial
with real coefficients.”
9. y = ax n , n odd, a < 0.
11. y = ax n , n even, a > 0.
23. Note that the leading term x 3 (dashed)
has the same end-behavior as the polynomial
p.
y
−70
p(x)=x 3 +x 2 −17x+15
13. y = ax n , n odd, a < 0.
15. odd, positive
17. even, negative
x
−10 10
19. odd, positive
−70
Version: Fall 2007