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Solution - Simplification or other simple results
2*(6x^2-3x+5)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((22•3x2) - 6x) + 10
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x2 - 6x + 10 = 2 • (6x2 - 3x + 5)
Trying to factor by splitting the middle term
3.2 Factoring 6x2 - 3x + 5
The first term is, 6x2 its coefficient is 6 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 6 • 5 = 30
Step-2 : Find two factors of 30 whose sum equals the coefficient of the middle term, which is -3 .
| -30 | + | -1 | = | -31 | ||
| -15 | + | -2 | = | -17 | ||
| -10 | + | -3 | = | -13 | ||
| -6 | + | -5 | = | -11 | ||
| -5 | + | -6 | = | -11 | ||
| -3 | + | -10 | = | -13 | ||
| -2 | + | -15 | = | -17 | ||
| -1 | + | -30 | = | -31 | ||
| 1 | + | 30 | = | 31 | ||
| 2 | + | 15 | = | 17 | ||
| 3 | + | 10 | = | 13 | ||
| 5 | + | 6 | = | 11 | ||
| 6 | + | 5 | = | 11 | ||
| 10 | + | 3 | = | 13 | ||
| 15 | + | 2 | = | 17 | ||
| 30 | + | 1 | = | 31 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (6x2 - 3x + 5)
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