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  1. #1
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    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
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  2. #2
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    Hello, Brooke!

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

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

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

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

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

    We are told that P = 4 when T = 480.

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


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

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