Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
(32x2 - 21x) + 10
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 9x2-21x+10
The first term is, 9x2 its coefficient is 9 .
The middle term is, -21x its coefficient is -21 .
The last term, "the constant", is +10
Step-1 : Multiply the coefficient of the first term by the constant 9 • 10 = 90
Step-2 : Find two factors of 90 whose sum equals the coefficient of the middle term, which is -21 .
| -90 | + | -1 | = | -91 | ||
| -45 | + | -2 | = | -47 | ||
| -30 | + | -3 | = | -33 | ||
| -18 | + | -5 | = | -23 | ||
| -15 | + | -6 | = | -21 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -6
9x2 - 15x - 6x - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (3x-5)
Add up the last 2 terms, pulling out common factors :
2 • (3x-5)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (3x-5)
Which is the desired factorization
Final result :
(3x - 5) • (3x - 2)
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