SOLUTION: Explain how to factor the following trinomials forms: x² + bx + c and ax² + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical n

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Explain how to factor the following trinomials forms: x² + bx + c and ax² + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical n      Log On


   

Question 726061: Explain how to factor the following trinomials forms: x² + bx + c and ax² + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation? Provide an expression for your classmate to factor.
Answer by Theo(13342) About Me  (Show Source):
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There are 3 basic methods, not including the indian method, which can be considered a 4th method not widely used.
1. factoring
2. sum of squares
3. quadratic formula

the one formula that works all the time is the quadratic formula.

this formula can be found here:
http://www.purplemath.com/modules/quadform.htm

to use this formula, you have to convert the quadratic equation into standard form.

standard form is:

ax^2 + bx + c = 0

a is the coefficient of the x^2 term.
b is the coefficient of the x term.
c is the constant term.

once you do that you can find the value of a, b, and c and then plug it into the quadratic formula to get your answer.