If the zeros of the quadratic are -5 and 3, then so and so . That means the factors of the quadratic are and . Just multiply the two factors to get your quadratic.
Quadratic equation (in our case ) has the following solutons:
For these solutions to exist, the discriminant should not be a negative number.
First, we need to compute the discriminant : .
Discriminant d=64 is greater than zero. That means that there are two solutions: .
Quadratic expression can be factored:
Again, the answer is: 3, -5.
Here's your graph:
I hope the above steps and explanation were helpful.
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