College Algebra, 2013a

252 Polynomial Functions
15. F (x) =x 3 (x +2) 2
x = 0 multiplicity 3
x = −2 multiplicity 2
y
16. P (x) =(x − 1)(x − 2)(x − 3)(x − 4)
x = 1 multiplicity 1
x = 2 multiplicity 1
x = 3 multiplicity 1
x = 4 multiplicity 1
y
−2
−1
x
1 2 3 4
x
17. Q(x) =(x +5) 2 (x − 3) 4
x = −5 multiplicity 2
x = 3 multiplicity 4
y
18. f(x) =x 2 (x − 2) 2 (x +2) 2
x = −2 multiplicity 2
x = 0 multiplicity 2
x = 2 multiplicity 2
y
−5−4−3−2−1 1 2 3 4 5
x
−2 −1 1 2
x
19. H(t) =(3− t) ( t 2 +1 )
x = 3 multiplicity 1
y
20. Z(b) =b(42 − b 2 )
b = − √ 42 multiplicity 1
b = 0 multiplicity 1
b = √ 42 multiplicity 1
y
1 2 3
t
−6−5−4−3−2−1 1 2 3 4 5 6
b