Solution - Simplification or other simple results
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-4x-60
The first term is, x2 its coefficient is 1 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -60
Step-1 : Multiply the coefficient of the first term by the constant 1 • -60 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -4 .
| -60 | + | 1 | = | -59 | ||
| -30 | + | 2 | = | -28 | ||
| -20 | + | 3 | = | -17 | ||
| -15 | + | 4 | = | -11 | ||
| -12 | + | 5 | = | -7 | ||
| -10 | + | 6 | = | -4 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 6
x2 - 10x + 6x - 60
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
6 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-10)
Which is the desired factorization
Final result :
(x + 6) • (x - 10)
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