Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(5g2 - 11g) + 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 5g2-11g+6
The first term is, 5g2 its coefficient is 5 .
The middle term is, -11g its coefficient is -11 .
The last term, "the constant", is +6
Step-1 : Multiply the coefficient of the first term by the constant 5 • 6 = 30
Step-2 : Find two factors of 30 whose sum equals the coefficient of the middle term, which is -11 .
-30 | + | -1 | = | -31 | ||
-15 | + | -2 | = | -17 | ||
-10 | + | -3 | = | -13 | ||
-6 | + | -5 | = | -11 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -5
5g2 - 6g - 5g - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
g • (5g-6)
Add up the last 2 terms, pulling out common factors :
1 • (5g-6)
Step-5 : Add up the four terms of step 4 :
(g-1) • (5g-6)
Which is the desired factorization
Final result :
(5g - 6) • (g - 1)
How did we do?
Please leave us feedback.