1. ## Homework HELP

1. a polynomial has a degree of 5 whose coeffiecients are real numbers has the zeros 2, 4i, and 4 + i. Idenitfy the remaining zeros.

A: -4i, 4-i
B: -2, -4i, 4-i
C: 4i, -4-i
D: -4i, 4+i

2. an enclosed gas exerts a pressure P on the walls of its container. this pressure is directly proportional to the temperature T of the gas. IF the pressure is 4 pounds per square inch when the temperature is 480 K, identify the appropriate direct variation equation.

A: P=1/120 T
B: P= 1/16 T
C: P=16T
D: P= 120T

2. Hello, Brooke!

1. A polynomial has a degree of 5 whose coeffiecients are real numbers
has the zeros $\displaystyle 2,\;4i,$ and $\displaystyle 4 + i$. . Identify the remaining zeros.

$\displaystyle A)\;-4i,\;4-i\qquad B)\;-2,\;-4i,\;4-i\qquad C)$ $\displaystyle 4i,\;-4-i\qquad D)\;-4i,\;4+i$

Complex roots always appear in conjugate pairs.
. . If $\displaystyle 4i$ is a root, then $\displaystyle -4i$ is a root.
. . If $\displaystyle 4 + i$ is a root, then $\displaystyle 4 - i$ is a root.
Answer choice $\displaystyle (A)$.

2. An enclosed gas exerts a pressure P on the walls of its container.
This pressure is directly proportional to the temperature T of the gas.
If the pressure is 4 pounds per square inch when the temperature is 480° K,
identify the appropriate direct variation equation.

$\displaystyle A)\; P = \frac{1}{120}T\qquad B)\;P= \frac{1}{16}T\qquad C)\;$$\displaystyle P = 16T\qquad D)\; P= 120T$

"The pressure is directly proportional to the termperature": .$\displaystyle P \:= \:kT$

We are told that $\displaystyle P = 4$ when $\displaystyle T = 480$.

So we have: .$\displaystyle 4 \:= \:k(480)\quad\Rightarrow\quad k = \frac{1}{120}$

Therefore, the equation is: .$\displaystyle P \:= \:\frac{1}{120}T$ . . . answer choice $\displaystyle (A)$