Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((2•5x2) - 19x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 10x2-19x-12
The first term is, 10x2 its coefficient is 10 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 10 • -12 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -19 .
| -120 | + | 1 | = | -119 | ||
| -60 | + | 2 | = | -58 | ||
| -40 | + | 3 | = | -37 | ||
| -30 | + | 4 | = | -26 | ||
| -24 | + | 5 | = | -19 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -24 and 5
10x2 - 24x + 5x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (5x-12)
Add up the last 2 terms, pulling out common factors :
1 • (5x-12)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (5x-12)
Which is the desired factorization
Final result :
(5x - 12) • (2x + 1)
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