Solution - Simplification or other simple results
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((2•3x2) + x) - 40
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 6x2+x-40
The first term is, 6x2 its coefficient is 6 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -40
Step-1 : Multiply the coefficient of the first term by the constant 6 • -40 = -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 | ||
| -15 | + | 16 | = | 1 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 16
6x2 - 15x + 16x - 40
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (2x-5)
Add up the last 2 terms, pulling out common factors :
8 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(3x+8) • (2x-5)
Which is the desired factorization
Final result :
(2x - 5) • (3x + 8)
How did we do?
Please leave us feedback.