Stephen W. answered • 04/10/14

Academic and independent Algebra 1&2 experience 10+ years

^{2}+bx+c=0. The 'a' 'b' and 'c' are simply coefficients that may or may not be in the formula.

Brendan E.

asked • 04/10/14The title tells it all. Find a,b, and c: x^{2-}25

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Stephen W. answered • 04/10/14

Tutor

4.9
(43)
Academic and independent Algebra 1&2 experience 10+ years

When working with quadratics, the usual formula for working with them is as a trinomial where ax^{2}+bx+c=0. The 'a' 'b' and 'c' are simply coefficients that may or may not be in the formula.

If there is no number in front of one or the other of the variables, then the coefficient is assumed to be '1'. The 'c' term is the positive or negative number at the end of the trinomial. If there is not a middle term, 'b', then the coefficient MUST be zero, and it is eliminated from the trinomial.

Is this enough information? Please let me know if it isn't. Thanks!

Kyle S. answered • 04/10/14

Tutor

New to Wyzant
Active Musician - Music, English, and Math Tutor

A *quadratic equation (an equation with an x*^{2} in it) in standard form is written **a**x^{2} + **b**x + **c= 0** (given that **"a"** does NOT equal zero - if it did, it wouldn't be a quadratic). This form works because it makes it easy to plug an equation into the quadratic formula. (Quadratic equation... quadratic formula...). The lack of an equal sign just makes this a quadratic expression. However, you keep the same form. Therefore, a is the coefficient of your x^{2} term, b is the coefficient of your x term, and c is your constant (or your number).

In this equation:

- There is an implied 1 in front of the x
^{2}. (Any thing times 1 = itself) - There is an implied 0 in front of the x. Any thing times 0 = 0.
- Your constant is 25. This is the easy one.

Therefore

- a=1, b=0, c=25

Enjoy your studying, Mr. Brendan!

Kyle J. Smith

Brendan E.

Thank you so much. If the x^{2} or the x was a negative, would that make the a or b a positive as well or does that only apply to the constant?

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04/10/14

Stephen W.

tutor

It would affect the 'b' term, but it wouldn't change for the x^{2} term, since any number squared winds up being positive.

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04/10/14

Brendan E.

Thank you Mr.W. Now I fully understand How to find a,b, and c while factoring trinomials. Thank you!

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04/10/14

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Brendan E.

04/10/14