How to find the sum and the products of the roots and the axis of symmetry?

Question: How do we find the sum and the product of roots?

Answer:

Let's use a example problem in order to find both the sum and products of roots:

Example problem:

2x^2+ 4x- 16

In order to find the product of this equation we need to use the formula: c /a

In order top make plugging in this formula seem easier we need to use ax^2+bx-c which can apply to the formula already stated. 

So that means that  c= -16 and a=2

so the product of this equation is -8 because -16/2= -8

Now for the sum of the roots, the formula that we will use is: -b / a

So this means that -b= -4 and a=2

So the sum of the roots of this equation is -2 because -4/2 = -2

In order to find the axis of symmetry of this equation all that we are doing is that we are plugging the numbers in the equation into -b/2a

Which means that -b=-4 and a=2

which also means that the axis of symmetry is -1, because -4/2(2)= -1

Now try this yourself:

What is the axis of symmetry and the sum and product of the roots of the equation below?

5x^2+10x+25