Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5x2 + 19x) - 4
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 5x2+19x-4
The first term is, 5x2 its coefficient is 5 .
The middle term is, +19x its coefficient is 19 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 5 • -4 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is 19 .
| -20 | + | 1 | = | -19 | ||
| -10 | + | 2 | = | -8 | ||
| -5 | + | 4 | = | -1 | ||
| -4 | + | 5 | = | 1 | ||
| -2 | + | 10 | = | 8 | ||
| -1 | + | 20 | = | 19 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 20
5x2 - 1x + 20x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (5x-1)
Add up the last 2 terms, pulling out common factors :
4 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(x+4) • (5x-1)
Which is the desired factorization
Final result :
(5x - 1) • (x + 4)
How did we do?
Please leave us feedback.