A polynomial is divided in 3 terms. This means is a third degree polynomial.
It have 3 linear terms in x. Then polynomial have 3 roots
lets find it
Looking at the graph, then polynomial have 2 negative roots, and 1 positive root
BUT looking at the equation y= (x-5)•(x-2)•(4x+3), it have
2 positive roots ,and 1 negative root.
As they are inverse results, then is needed to change the signs in the polynomial
then y is transformed to
y = (x+5)•(x+2)•(4x-3)
and this transformation gives as answer equation for the graph.
