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Solution - Simplification or other simple results
2*(3x^2-2x+3)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(2•3x2) + (6 - 4x)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
6x2 - 4x + 6 = 2 • (3x2 - 2x + 3)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 2x + 3
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 3 • 3 = 9
Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is -2 .
| -9 | + | -1 | = | -10 | ||
| -3 | + | -3 | = | -6 | ||
| -1 | + | -9 | = | -10 | ||
| 1 | + | 9 | = | 10 | ||
| 3 | + | 3 | = | 6 | ||
| 9 | + | 1 | = | 10 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (3x2 - 2x + 3)
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