Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(13x2 - 118x) + 240
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 13x2-118x+240
The first term is, 13x2 its coefficient is 13 .
The middle term is, -118x its coefficient is -118 .
The last term, "the constant", is +240
Step-1 : Multiply the coefficient of the first term by the constant 13 • 240 = 3120
Step-2 : Find two factors of 3120 whose sum equals the coefficient of the middle term, which is -118 .
| -3120 | + | -1 | = | -3121 | ||
| -1560 | + | -2 | = | -1562 | ||
| -1040 | + | -3 | = | -1043 | ||
| -780 | + | -4 | = | -784 | ||
| -624 | + | -5 | = | -629 | ||
| -520 | + | -6 | = | -526 | ||
| -390 | + | -8 | = | -398 | ||
| -312 | + | -10 | = | -322 | ||
| -260 | + | -12 | = | -272 | ||
| -240 | + | -13 | = | -253 | ||
| -208 | + | -15 | = | -223 | ||
| -195 | + | -16 | = | -211 | ||
| -156 | + | -20 | = | -176 | ||
| -130 | + | -24 | = | -154 | ||
| -120 | + | -26 | = | -146 | ||
| -104 | + | -30 | = | -134 | ||
| -80 | + | -39 | = | -119 | ||
| -78 | + | -40 | = | -118 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -78 and -40
13x2 - 78x - 40x - 240
Step-4 : Add up the first 2 terms, pulling out like factors :
13x • (x-6)
Add up the last 2 terms, pulling out common factors :
40 • (x-6)
Step-5 : Add up the four terms of step 4 :
(13x-40) • (x-6)
Which is the desired factorization
Final result :
(x - 6) • (13x - 40)
How did we do?
Please leave us feedback.