Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-14x+33
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +33
Step-1 : Multiply the coefficient of the first term by the constant 1 • 33 = 33
Step-2 : Find two factors of 33 whose sum equals the coefficient of the middle term, which is -14 .
-33 | + | -1 | = | -34 | ||
-11 | + | -3 | = | -14 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -11 and -3
x2 - 11x - 3x - 33
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-11)
Add up the last 2 terms, pulling out common factors :
3 • (x-11)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-11)
Which is the desired factorization
Final result :
(x - 3) • (x - 11)
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