SOLUTION: My son is trying to solve 9x2+7x-56 he believes it cannit be factored.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: My son is trying to solve 9x2+7x-56 he believes it cannit be factored.       Log On


   



Question 940840: My son is trying to solve 9x2+7x-56 he believes it cannit be factored.
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
My son is trying to solve 9x2+7x-56 he believes it cannit be factored.
==============
It's not an equation, so there's nothing to solve.
---
It cannot be factored with integers. That's the definition of prime.
Any 2nd order polynomial can be factored with its roots, but that would mean there are no prime polynomials --> no prime numbers.
================
In short, your son is correct, it cannot be factored.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It can't be factored over integers. However you can still factor it in terms of its roots.

By the quadratic formula, the roots are . Then the quadratic factors to .