Question

Where is the double root in this polynomial?



y= (x + 2)(x + 1)3(x - 2)(x - 6)2



x= _____

Answer 1

Answer:

At a double root, the graph does not cross the x-axis. It just touches it. A double root occurs when the quadratic is a perfect square trinomial: x2 ±2ax + a2; that is, when the quadratic is the square of a binomial: (x ± a)2.