Solution - Simplification or other simple results
3*(3x^2+4x+2)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(32x2 + 12x) + 6
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
9x2 + 12x + 6 = 3 • (3x2 + 4x + 2)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 4x + 2
The first term is, 3x2 its coefficient is 3 .
The middle term is, +4x its coefficient is 4 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 3 • 2 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 4 .
| -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 :
3 • (3x2 + 4x + 2)
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