Perform the Following for the Function Defined By$f(x)=2 x^{4}+11 x^{3}+11 x^{2}-18 x-20$

Question

Examlex · Accepted Answer

The Answer is (a)

\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20, \pm \frac{1}{2}, \pm \frac{5}{2}

(b)

-\frac{5}{2},-1

(c)

f(1)=-14, f(2)=108

(d) positive: 1; negative: 3 or 1
(e) For

c=-6

, the bottom row of the synthetic division is

2 \quad-1 \quad 17 \quad-120 \quad 700

.
For

c=2

, the bottom row of the synthetic division is

2 \quad 15 \quad 41 \quad 64 \quad 108

.

Perform the Following for the Function Defined By $f(x)=2 x^{4}+11 x^{3}+11 x^{2}-18 x-20$