Can #64y^3 + 80y^2 + 25y # be factored? If so what are the factors ?
First we can take a common factor of
Leaving us with a quadratic inside the brackets which we can use the quadratic formula on:
Notice that the square root term is just zero, so we have a double root of
This means we need a bracket that we can square which will give the original quadratic while also resulting in
Simplest to look at the squared term,
In order for the left hand side to have roots of