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+x-600
The first term is, x2 its coefficient is 1 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -600
Step-1 : Multiply the coefficient of the first term by the constant 1 • -600 = -600
Step-2 : Find two factors of -600 whose sum equals the coefficient of the middle term, which is 1 .
| -600 | + | 1 | = | -599 | ||
| -300 | + | 2 | = | -298 | ||
| -200 | + | 3 | = | -197 | ||
| -150 | + | 4 | = | -146 | ||
| -120 | + | 5 | = | -115 | ||
| -100 | + | 6 | = | -94 | ||
| -75 | + | 8 | = | -67 | ||
| -60 | + | 10 | = | -50 | ||
| -50 | + | 12 | = | -38 | ||
| -40 | + | 15 | = | -25 | ||
| -30 | + | 20 | = | -10 | ||
| -25 | + | 24 | = | -1 | ||
| -24 | + | 25 | = | 1 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -24 and 25
x2 - 24x + 25x - 600
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-24)
Add up the last 2 terms, pulling out common factors :
25 • (x-24)
Step-5 : Add up the four terms of step 4 :
(x+25) • (x-24)
Which is the desired factorization
Final result :
(x + 25) • (x - 24)
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