SOLUTION: Write a quadratic function having the given solutions: -5,3.

Question 223995: Write a quadratic function having the given solutions: -5,3.
Found 2 solutions by solver91311, drj:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

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.

John

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Write a quadratic function having the given solutions: -5,3.

Step 1. With these solutions then x=-5 and x=3 or x+5=0 and x-3=0.

Step 2. Multiply x+5 and x-3 to get the quadratic equation using the FOIL method.

Step 3. ANSWER: With and , the corresponding quadratic equation is

We can check with the following:

Solved by pluggable solver: SOLVE quadratic equation with variable

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.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV
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