Question

x2-45x+324 middle term spiliting

Answer 1

Hey there !

Factorization by splitting middle terms .

x²-45x+324

=x²-36x-9x+324

= x(x-36)-9(x-36)

= (x-9)(x-36)

Answer 2

hi mate,

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.