Solution - Simplification or other simple results
-6x^2-10x+3
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(3 - (2•3x2)) - 10x
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-6x2 - 10x + 3 = -1 • (6x2 + 10x - 3)
Trying to factor by splitting the middle term
3.2 Factoring 6x2 + 10x - 3
The first term is, 6x2 its coefficient is 6 .
The middle term is, +10x its coefficient is 10 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 6 • -3 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 10 .
| -18 | + | 1 | = | -17 | ||
| -9 | + | 2 | = | -7 | ||
| -6 | + | 3 | = | -3 | ||
| -3 | + | 6 | = | 3 | ||
| -2 | + | 9 | = | 7 | ||
| -1 | + | 18 | = | 17 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-6x2 - 10x + 3
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