Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2+12x-2880
The first term is, x2 its coefficient is 1 .
The middle term is, +12x its coefficient is 12 .
The last term, "the constant", is -2880
Step-1 : Multiply the coefficient of the first term by the constant 1 • -2880 = -2880
Step-2 : Find two factors of -2880 whose sum equals the coefficient of the middle term, which is 12 .
| -2880 | + | 1 | = | -2879 | ||
| -1440 | + | 2 | = | -1438 | ||
| -960 | + | 3 | = | -957 | ||
| -720 | + | 4 | = | -716 | ||
| -576 | + | 5 | = | -571 | ||
| -480 | + | 6 | = | -474 | ||
| -360 | + | 8 | = | -352 | ||
| -320 | + | 9 | = | -311 | ||
| -288 | + | 10 | = | -278 | ||
| -240 | + | 12 | = | -228 | ||
| -192 | + | 15 | = | -177 | ||
| -180 | + | 16 | = | -164 | ||
| -160 | + | 18 | = | -142 | ||
| -144 | + | 20 | = | -124 | ||
| -120 | + | 24 | = | -96 | ||
| -96 | + | 30 | = | -66 | ||
| -90 | + | 32 | = | -58 | ||
| -80 | + | 36 | = | -44 | ||
| -72 | + | 40 | = | -32 | ||
| -64 | + | 45 | = | -19 | ||
| -60 | + | 48 | = | -12 | ||
| -48 | + | 60 | = | 12 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -48 and 60
x2 - 48x + 60x - 2880
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-48)
Add up the last 2 terms, pulling out common factors :
60 • (x-48)
Step-5 : Add up the four terms of step 4 :
(x+60) • (x-48)
Which is the desired factorization
Final result :
(x + 60) • (x - 48)
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