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Solution - Simplification or other simple results
x^2+9x+81
Other Ways to Solve:
Step by Step Solution
Step 1 :
81
Simplify ——
1
Equation at the end of step 1 :
((x2) + 9x) + 81
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring x2+9x+81
The first term is, x2 its coefficient is 1 .
The middle term is, +9x its coefficient is 9 .
The last term, "the constant", is +81
Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81
Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is 9 .
| -81 | + | -1 | = | -82 | ||
| -27 | + | -3 | = | -30 | ||
| -9 | + | -9 | = | -18 | ||
| -3 | + | -27 | = | -30 | ||
| -1 | + | -81 | = | -82 | ||
| 1 | + | 81 | = | 82 | ||
| 3 | + | 27 | = | 30 | ||
| 9 | + | 9 | = | 18 | ||
| 27 | + | 3 | = | 30 | ||
| 81 | + | 1 | = | 82 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 + 9x + 81
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