Exam 3 245 practice Disclaimer. The actual test does not mirror this ...

Find the zeros of the polynomial function and state the multiplicity of each.
37) 5x(x - 7) 3 (x 2 - 16) 37)
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
38) -5 - 4i; f(x) = x2 + 10x + 41 38)
Use the remainder theorem and synthetic division to find f(k).
39) k = -3; f(x) = 6x 4 + 10x 3 + 2x 2 - 6x + 35 39)
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
40) -2; f(x) = -6x 3 + 3x 2 + x - 58 40)
Use the remainder theorem and synthetic division to find f(k).
41) k = 2 + i; f(x) = x3 + 10 41)
Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
42) 8x 3 + 36x 2 - 19x + 5; x + 5 42)
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
43) 7i; f(x) = x3 + 2x2 + 49x + 98 43)
For the function as defined that is one-to-one, graph f and f-1 on the same axes.
44) f(x) = x + 6
y
10
44)
5
-10 -5 5 10
x
-5
-10
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
45) 1 2 ; f(x) = 2x 4 - 21x3 + 3x + 1 45)
Factor f(x) into linear factors given that k is a zero of f(x).
46) f(x) = x3 - (4 + 2i)x2 + (-5 + 8i)x + 10i; k = 2i 46)
5