Which Describes The Number And Type Of Roots Of The Equation X^3-4x^2+50x+7=0? 1 Positive 2 Negative; 2 Positive 1 Negative; 3 Negative; 3 Positve?

The answers are 1 positive 2 negative.

Based on Descarte's rule of signs, the equation has 2 or 0 positive roots and 1 negative root. A plot of the left-side expression reveals there are 0 positive and 1 negative roots.