Re: maths problem
- From: Robert Low <mtx014@xxxxxxxxxxxxxx>
- Date: Wed, 09 Nov 2005 23:41:25 +0000
Guess who wrote:
On Wed, 09 Nov 2005 13:14:47 GMT, "mm" <abc123@xxxxxxxxx> wrote:Use the given zero to find the remaining zeros of this polynomial function.
p(x)=3x(cubed)-29x(squared)+92x+34; 5+3i
I'm taking an online course and am stuck on this principle. Your help is greatly appreciated.Let's cut to the chase: 5 + 3i is a given root. The polynomial is 3rd degree, so there are three roots, and 5 - i is another. Multiply those together and you get 34. So the third root must be 1.
So 3-29+92+34=0.
I don't think so.
You can do it by dividing the original polynomial by three, so that the coefficient of x^3 is 1, then using the fact that the product of *minus* the roots is the constant term, so the third root must be -1/3.
Or you could multiply out (x-(5+3i))(x-(5-3i)) and divide the original cubic by this quadratic, to get (3x+1), so that the third root is -1/3. .
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