Solution - Simplification or other simple results
x^2+9x-210
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2+9x-210
The first term is, x2 its coefficient is 1 .
The middle term is, +9x its coefficient is 9 .
The last term, "the constant", is -210
Step-1 : Multiply the coefficient of the first term by the constant 1 • -210 = -210
Step-2 : Find two factors of -210 whose sum equals the coefficient of the middle term, which is 9 .
| -210 | + | 1 | = | -209 | ||
| -105 | + | 2 | = | -103 | ||
| -70 | + | 3 | = | -67 | ||
| -42 | + | 5 | = | -37 | ||
| -35 | + | 6 | = | -29 | ||
| -30 | + | 7 | = | -23 | ||
| -21 | + | 10 | = | -11 | ||
| -15 | + | 14 | = | -1 | ||
| -14 | + | 15 | = | 1 | ||
| -10 | + | 21 | = | 11 | ||
| -7 | + | 30 | = | 23 | ||
| -6 | + | 35 | = | 29 | ||
| -5 | + | 42 | = | 37 | ||
| -3 | + | 70 | = | 67 | ||
| -2 | + | 105 | = | 103 | ||
| -1 | + | 210 | = | 209 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 + 9x - 210
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