Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5x2 - 2x) - 7
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 5x2-2x-7
The first term is, 5x2 its coefficient is 5 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 5 • -7 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -2 .
-35 | + | 1 | = | -34 | ||
-7 | + | 5 | = | -2 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 5
5x2 - 7x + 5x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (5x-7)
Add up the last 2 terms, pulling out common factors :
1 • (5x-7)
Step-5 : Add up the four terms of step 4 :
(x+1) • (5x-7)
Which is the desired factorization
Final result :
(5x - 7) • (x + 1)
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