1. ## 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

2. Originally Posted by asaver
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.

3. Originally Posted by asaver
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)?

4. yeah, thats what i meant. sorry for my misuse of terms.

5. Originally Posted by asaver
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.