Algebra Question

posted by .

Quadratic equations can be solved by graphing, using the quadrat completing the square, and factoring. What are the pros and cons these methods? When might each method be most appropriate?

• Algebra Question -

Factoring is quickest and best if simple integer factors are possible
The quadratic equation and completing the square are the same thing as far as I am concerned. This is the way to go if you have a calculator handy and the numbers are too nasty for factoring.
Use a graph if you want to see how the function is behaving as well as its zeros.

• Algebra Question -

If the numbers are reasonably small the first thing I try is factoring

If the coefficient of the square term is 1, and the middle term is even, then completing the square works great

For all other cases I simply use the quadratic formula, knowing that it always works.

One of my favourite questions when I was still teaching was to give 3 different quadratic equations, using a different method for each.
(The trick was that there was only one that factored, so it you used the quadratic formula for that one, you were out of options for the factoring type.)

Similar Questions

1. Algebra

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
2. ALGEBRA--MAT 117

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
3. algebra

"Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
4. algebra

Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
5. algebra

o Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
6. ALGEBRA

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
7. Algebra

I understand that systems of equations can be solved by graphing or by using substitution or elimination. But I cannot think of any pros or cons so... What are pros and cons of each method?
8. math 117

Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
9. algebra

Quadratic equations can be solved by graphing,using the quadratic formula, completing the square, and factoring. What are the pros and cons of the methods. when would each be appropriate?
10. Mat/117 DQ2

Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?

More Similar Questions