Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5x2 + 44x) - 9
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 5x2+44x-9
The first term is, 5x2 its coefficient is 5 .
The middle term is, +44x its coefficient is 44 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 5 • -9 = -45
Step-2 : Find two factors of -45 whose sum equals the coefficient of the middle term, which is 44 .
| -45 | + | 1 | = | -44 | ||
| -15 | + | 3 | = | -12 | ||
| -9 | + | 5 | = | -4 | ||
| -5 | + | 9 | = | 4 | ||
| -3 | + | 15 | = | 12 | ||
| -1 | + | 45 | = | 44 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 45
5x2 - 1x + 45x - 9
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 :
9 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(x+9) • (5x-1)
Which is the desired factorization
Final result :
(5x - 1) • (x + 9)
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