Solution - Simplification or other simple results
s^2+15s+32
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring s2+15s+32
The first term is, s2 its coefficient is 1 .
The middle term is, +15s its coefficient is 15 .
The last term, "the constant", is +32
Step-1 : Multiply the coefficient of the first term by the constant 1 • 32 = 32
Step-2 : Find two factors of 32 whose sum equals the coefficient of the middle term, which is 15 .
| -32 | + | -1 | = | -33 | ||
| -16 | + | -2 | = | -18 | ||
| -8 | + | -4 | = | -12 | ||
| -4 | + | -8 | = | -12 | ||
| -2 | + | -16 | = | -18 | ||
| -1 | + | -32 | = | -33 | ||
| 1 | + | 32 | = | 33 | ||
| 2 | + | 16 | = | 18 | ||
| 4 | + | 8 | = | 12 | ||
| 8 | + | 4 | = | 12 | ||
| 16 | + | 2 | = | 18 | ||
| 32 | + | 1 | = | 33 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
s2 + 15s + 32
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