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Math Help - Polynomial Roots

  1. #1
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    Polynomial Roots

    Just a quick question;
    Just say you had a linear equation which was one of the roots of a polynomial (quadratic). Lets say y=2x+2. How would the gradient of the second linear equation affect the polynomial?
    I just cant seem to put it in words/make it sound mathematically convincing.
    Thanks
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  2. #2
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    Quote Originally Posted by asaver View Post
    Just a quick question;
    Just say you had a linear equation which was one of the roots of a polynomial (quadratic). Lets say y=2x+2. How would the gradient of the second linear equation affect the polynomial?
    I just cant seem to put it in words/make it sound mathematically convincing.
    Thanks
    A polynomial P(x)=ax^2+bx+c with a\ne0 has exactly two complex roots and at most two real roots; calling a root a linear equation makes no sense to me.
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  3. #3
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    Quote Originally Posted by asaver View Post
    Just a quick question;
    Just say you had a linear equation which was one of the roots of a polynomial (quadratic). Lets say y=2x+2. How would the gradient of the second linear equation affect the polynomial?
    Do you mean  2x+2 is a factor of the quadratic (i.e., x = -1 is a root)?
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  4. #4
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    yeah, thats what i meant. sorry for my misuse of terms.
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  5. #5
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    Quote Originally Posted by asaver View Post
    yeah, thats what i meant. sorry for my misuse of terms.
    You're asking what the effect of a is in the parabola y = (2x + 2)(ax + b) ....? Do you mean from a transformation point of view? Please be more specific in what yuo are trying to find.
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