finding actual roots. Right now I'm using the Rational Root Theorem to list all the possible roots for this polynomial equation. Though it is to slow. I was wondering if anyone knew a faster way of doing this:
26.) 10x^3-49x^2+68x-20=0
finding actual roots. Right now I'm using the Rational Root Theorem to list all the possible roots for this polynomial equation. Though it is to slow. I was wondering if anyone knew a faster way of doing this:
26.) 10x^3-49x^2+68x-20=0
Sketch it, also Descartes rule of signs tells you that 1 or 3 roots are positive and none are negative.
At x=0, 10x^3-49x^2+68x-20=-20, and at x=1, 10x^3-49x^2+68x-20=9.
So there is a root between x=0 and x=1.
This narrows the candidates for the first root down to 1/2, 1/5, 2/5 and 4/5.
RonL