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Solution - Simplification or other simple results
2*(4x^2-2x+3)
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(23x2 - 4x) + 6
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
8x2 - 4x + 6 = 2 • (4x2 - 2x + 3)
Trying to factor by splitting the middle term
3.2 Factoring 4x2 - 2x + 3
The first term is, 4x2 its coefficient is 4 .
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 4 • 3 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -2 .
| -12 | + | -1 | = | -13 | ||
| -6 | + | -2 | = | -8 | ||
| -4 | + | -3 | = | -7 | ||
| -3 | + | -4 | = | -7 | ||
| -2 | + | -6 | = | -8 | ||
| -1 | + | -12 | = | -13 | ||
| 1 | + | 12 | = | 13 | ||
| 2 | + | 6 | = | 8 | ||
| 3 | + | 4 | = | 7 | ||
| 4 | + | 3 | = | 7 | ||
| 6 | + | 2 | = | 8 | ||
| 12 | + | 1 | = | 13 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (4x2 - 2x + 3)
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