Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5x2 - 26x) - 63
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 5x2-26x-63
The first term is, 5x2 its coefficient is 5 .
The middle term is, -26x its coefficient is -26 .
The last term, "the constant", is -63
Step-1 : Multiply the coefficient of the first term by the constant 5 • -63 = -315
Step-2 : Find two factors of -315 whose sum equals the coefficient of the middle term, which is -26 .
| -315 | + | 1 | = | -314 | ||
| -105 | + | 3 | = | -102 | ||
| -63 | + | 5 | = | -58 | ||
| -45 | + | 7 | = | -38 | ||
| -35 | + | 9 | = | -26 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -35 and 9
5x2 - 35x + 9x - 63
Step-4 : Add up the first 2 terms, pulling out like factors :
5x • (x-7)
Add up the last 2 terms, pulling out common factors :
9 • (x-7)
Step-5 : Add up the four terms of step 4 :
(5x+9) • (x-7)
Which is the desired factorization
Final result :
(x - 7) • (5x + 9)
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