Solution - Simplification or other simple results
2*(x^2+7x+18)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(2x2 + 14x) + 36
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
2x2 + 14x + 36 = 2 • (x2 + 7x + 18)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 7x + 18
The first term is, x2 its coefficient is 1 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +18
Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 7 .
| -18 | + | -1 | = | -19 | ||
| -9 | + | -2 | = | -11 | ||
| -6 | + | -3 | = | -9 | ||
| -3 | + | -6 | = | -9 | ||
| -2 | + | -9 | = | -11 | ||
| -1 | + | -18 | = | -19 | ||
| 1 | + | 18 | = | 19 | ||
| 2 | + | 9 | = | 11 | ||
| 3 | + | 6 | = | 9 | ||
| 6 | + | 3 | = | 9 | ||
| 9 | + | 2 | = | 11 | ||
| 18 | + | 1 | = | 19 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
2 • (x2 + 7x + 18)
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