Solution - Simplification or other simple results
x^2-6x+6
Other Ways to Solve
Simplification or other simple resultsStep by Step Solution
Step 1 :
1.1 Evaluate : (x-3)2 = x2-6x+9
Trying to factor by splitting the middle term
1.2 Factoring x2-6x+6
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +6
Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -6 .
| -6 | + | -1 | = | -7 | ||
| -3 | + | -2 | = | -5 | ||
| -2 | + | -3 | = | -5 | ||
| -1 | + | -6 | = | -7 | ||
| 1 | + | 6 | = | 7 | ||
| 2 | + | 3 | = | 5 | ||
| 3 | + | 2 | = | 5 | ||
| 6 | + | 1 | = | 7 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 6x + 6
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