Linda N.

asked • 02/03/15

x^2 + bx+c and ax^2+bx+c

Explain how to factor the following trinomial form both in written and showing how to get answer

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As written the two expression cannot be factored into any usable form. They are general forms of a quadratic trinomial.
 
If a, b, and c were replace with specific numbers, a factorization could be demonstrated.
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02/03/15

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Inactive Tutor answered • 02/03/15

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First factor x2+bx+c by itself.   Then factor ax2+bx+c by itself.  Lastly, multiply those factors all together.  Since a trinomial is a product of 2 binomials, you will end up multiplying 4 binomials.
 
 
Also when factoring one trinomial, you need to find two numbers q and r.
 
c = q*r
b = q+r
 
You find these numbers by guess and check.
 
Your factor form of one trinomial will be  (x+q)(x+r)
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