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Math Help - Another question involving polynomials in C

  1. #1
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    Another question involving polynomials in C

    I have this question here, but I don't really understand what they're asking.

    If P(z) is a polynomial of degree 4 with all of its coefficients real with ai and bi
     a, b  \epsilon  R as two of its zeros, then the term that does not contain z is:
    A) ab B) a - b C) a + b D) a^2b^2 C) a^3b^3

    So what do they mean by, "the term that does not contain z"?

    David.
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  2. #2
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    Quote Originally Posted by Bucephalus View Post
    I have this question here, but I don't really understand what they're asking.

    If P(z) is a polynomial of degree 4 with all of its coefficients real with ai and bi
     a, b  \epsilon  R as two of its zeros, then the term that does not contain z is:
    A) ab B) a - b C) a + b D) a^2b^2 C) a^3b^3

    So what do they mean by, "the term that does not contain z"?

    David.

    Apparently the free coefficient...whoever wrote that questions deserves to be thrown into a pool full of sharks.

    Tonio
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  3. #3
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    Hello, Bucephalus!

    \text{If }P(z)\text{ is a polynomial of degree 4 with all of its coefficients real}
    \text{with }ai\text{ and }bi\text{ as two of its zeros }(a,b, \in R)
    \text{then the term that does not contain }z\text{ is:}

    . . (1)\;ab\qquad  (2)\; a - b \qquad (3)\;a + b \qquad (4)\;a^2b^2 \qquad (5)\; a^3b^3


    \text{So what do they mean by, "the term that does not contain }z\text{"?}

    A polynomial in \,z of degree 4 with real coefficient might be:

    . . . 3z^4 - 7z^3 + 4z^2 - 3z + 5


    Can you guess which is "the term that does not contain \,z"?

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  4. #4
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    Quote Originally Posted by tonio View Post
    Apparently the free coefficient...whoever wrote that questions deserves to be thrown into a pool full of sharks.
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  5. #5
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    Oh, um, um, 5?
    Thanks.
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