Math 1314 Homework 4

MULTIPLE CHOICE . Choose the one alternative that best completes the statement or answers the question.

Use synthetic division to find the function value .

1) f(x) = 2x3 - 7x2 - 3x + 10; find f(4).

2) f(x) = 6x4 - 8x3 + 6x2 + 8x + 4; find f(2).

3) f(x) = 4x5 - 2x4 + 5x3 - x + 3; find f(-1).

4) f(x) = x5 - 12x4 + 17x3 - 3x - 200; find f(-7).

5) f(x) = 4x3 - 2x2 - 8x + 17; find f(3).

6) f(x) = 2x4 - 5x3 - 6x2 - 9x + 5; find f(3).

7) f(x) = 4x5 - 3x4 + 2x3 - x + 8; find f(-1).

8) f(x) = x5 - 12x4 + 16x3 - 5x - 200; find f(1).

9) f(x) = x2 - 16; find f(4).

10) f(x) = x4 - 9; find f(3).

Use the rational zero theorem to find all possible rational zeros for the polynomial function .

11) P(x) = 2x3 + 8x2 + 12x - 8

12) P(x) = 3x3 + 35x2 + 35x + 27

13) P(x) = -2x4 + 3x3 + 4x2 + 18

Find all of the real and imaginary zeros for the polynomial function.

14) f(x) = x3 - 4x2 - 25x + 100

15) f(x) = x3 + 6x2 - 5x - 30

16) f(x) = x3 - 27x - 54

17) f(x) = 6x3 + 22x2 + 10x - 6

18) f(x) = x4 + 18x3 + 71x2 - 18x - 72

19) f(x) = x3 - 2x2 - 49x + 98

20) f(x) = x3 + 4x2 - 3x - 12

21) f(x) = x3 - 48x - 128

22) f(x) = 6x3 + 16x2 + 6x - 4

23) f(x) = x4 + 9x3 + 17x2 - 9x - 18