Solution - Simplification or other simple results
-3x^2+12x+7
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(12x + 7) - 3x2
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring -3x2+12x+7
The first term is, -3x2 its coefficient is -3 .
The middle term is, +12x its coefficient is 12 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant -3 • 7 = -21
Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is 12 .
-21 | + | 1 | = | -20 | ||
-7 | + | 3 | = | -4 | ||
-3 | + | 7 | = | 4 | ||
-1 | + | 21 | = | 20 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-3x2 + 12x + 7
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