Solution - Simplification or other simple results
8*(3x^2+2x+18)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((23•3x2) + 16x) + 144
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
24x2 + 16x + 144 = 8 • (3x2 + 2x + 18)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 2x + 18
The first term is, 3x2 its coefficient is 3 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +18
Step-1 : Multiply the coefficient of the first term by the constant 3 • 18 = 54
Step-2 : Find two factors of 54 whose sum equals the coefficient of the middle term, which is 2 .
| -54 | + | -1 | = | -55 | ||
| -27 | + | -2 | = | -29 | ||
| -18 | + | -3 | = | -21 | ||
| -9 | + | -6 | = | -15 | ||
| -6 | + | -9 | = | -15 | ||
| -3 | + | -18 | = | -21 | ||
| -2 | + | -27 | = | -29 | ||
| -1 | + | -54 | = | -55 | ||
| 1 | + | 54 | = | 55 | ||
| 2 | + | 27 | = | 29 | ||
| 3 | + | 18 | = | 21 | ||
| 6 | + | 9 | = | 15 | ||
| 9 | + | 6 | = | 15 | ||
| 18 | + | 3 | = | 21 | ||
| 27 | + | 2 | = | 29 | ||
| 54 | + | 1 | = | 55 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8 • (3x2 + 2x + 18)
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