Solution - Simplification or other simple results
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring m2+m-90
The first term is, m2 its coefficient is 1 .
The middle term is, +m its coefficient is 1 .
The last term, "the constant", is -90
Step-1 : Multiply the coefficient of the first term by the constant 1 • -90 = -90
Step-2 : Find two factors of -90 whose sum equals the coefficient of the middle term, which is 1 .
| -90 | + | 1 | = | -89 | ||
| -45 | + | 2 | = | -43 | ||
| -30 | + | 3 | = | -27 | ||
| -18 | + | 5 | = | -13 | ||
| -15 | + | 6 | = | -9 | ||
| -10 | + | 9 | = | -1 | ||
| -9 | + | 10 | = | 1 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 10
m2 - 9m + 10m - 90
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (m-9)
Add up the last 2 terms, pulling out common factors :
10 • (m-9)
Step-5 : Add up the four terms of step 4 :
(m+10) • (m-9)
Which is the desired factorization
Final result :
(m + 10) • (m - 9)
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