Solution - Simplification or other simple results
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(2x2 - x) - 120
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-x-120
The first term is, 2x2 its coefficient is 2 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -120
Step-1 : Multiply the coefficient of the first term by the constant 2 • -120 = -240
Step-2 : Find two factors of -240 whose sum equals the coefficient of the middle term, which is -1 .
| -240 | + | 1 | = | -239 | ||
| -120 | + | 2 | = | -118 | ||
| -80 | + | 3 | = | -77 | ||
| -60 | + | 4 | = | -56 | ||
| -48 | + | 5 | = | -43 | ||
| -40 | + | 6 | = | -34 | ||
| -30 | + | 8 | = | -22 | ||
| -24 | + | 10 | = | -14 | ||
| -20 | + | 12 | = | -8 | ||
| -16 | + | 15 | = | -1 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and 15
2x2 - 16x + 15x - 120
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-8)
Add up the last 2 terms, pulling out common factors :
15 • (x-8)
Step-5 : Add up the four terms of step 4 :
(2x+15) • (x-8)
Which is the desired factorization
Final result :
(x - 8) • (2x + 15)
How did we do?
Please leave us feedback.