Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-19x+84
The first term is, x2 its coefficient is 1 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is +84
Step-1 : Multiply the coefficient of the first term by the constant 1 • 84 = 84
Step-2 : Find two factors of 84 whose sum equals the coefficient of the middle term, which is -19 .
| -84 | + | -1 | = | -85 | ||
| -42 | + | -2 | = | -44 | ||
| -28 | + | -3 | = | -31 | ||
| -21 | + | -4 | = | -25 | ||
| -14 | + | -6 | = | -20 | ||
| -12 | + | -7 | = | -19 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -7
x2 - 12x - 7x - 84
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
7 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x-7) • (x-12)
Which is the desired factorization
Final result :
(x - 7) • (x - 12)
How did we do?
Please leave us feedback.