SOLUTION: Factoring​ Strategy: Example 1.  Fill in the parts of the​ step-by-step process of factoring a trinomial. We want to factor 6x^2-19x+10 Step​ 1: From the​ trin

Algebra ->  Test -> SOLUTION: Factoring​ Strategy: Example 1.  Fill in the parts of the​ step-by-step process of factoring a trinomial. We want to factor 6x^2-19x+10 Step​ 1: From the​ trin      Log On


   



Question 1139469: Factoring​ Strategy:
Example 1.  Fill in the parts of the​ step-by-step process of factoring a trinomial.
We want to factor 6x^2-19x+10
Step​ 1: From the​ trinomial, a​ =___,b​=____,c=____
Step​ 2: The product ac is _____
Step​ 3: Find two factors of
___ whose sum is ____
(Please input numbers for these answer​ boxes.)
Since ac is​ positive, the signs of the two factors will​ be:
A)the same
or
B)different
Since b is​ negative, we will look for two factors that​ are:

A.
both negative
B.
both positive
C.
one negative and one positive

Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What parts do you need help with?
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What are a, b & c? Seriously?

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Try the old way of setting up some possible combinations and check for which of them works right:
(2x  1)(3x   10)           3 & 20
(2x  10)(3x  1)            30 & 2
(2x  2)(3x   5)            6 & 10
(2x  5)(3x  2)            15 & 4   maybe this one

F.O.I.L.
highlight_green%28%282x-5%29%283x-2%29%29
6x%5E2-15x-4x%2B10
6x%5E2-19x%2B10the_given_expression