find an interval of unit length which contains the negative root of smallest magnitude of the equation $3x^3+10x^2+10x+7=0$

Question

I don't know how am I supposed to do it? Kindly help me with it. I have tried using bisection method but I don't have an idea regarding this.

Answer 1

Note that $$3x^3+10x^2+10x+7=(7+3x)(x^2+x+1)$$