x2+45x-324 splits the middle term
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solution:-
=> x²+45x-324
Factorizing the x²+45x-324 is not possible
if Q.
Factoring x²-45x+324
x² - 36x - 9x - 324
Step-1 : Add up the first 2 terms, pulling out like factors :
x • (x-36)
Add up the last 2 terms, pulling out common factors :
9 • (x-36)
Step-2 : Add up the four terms of step 1 :
(x-9) • (x-36)
Which is the desired factorization
Final result :
(x - 9) • (x - 36)
take
x-9 = 0 and x -36 = 0
x = 9 and x = 36 are the roots of equation..
i hope it helps you.
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