Split middle term of x^2-2x+3
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❚ QuEstiOn ❚
Factorise it by middle term method ,
✏ x²-2x-3
❚ ANsWeR ❚
✏ x²-2x-3
( now applying middle term method )
✏ x²-3x+x-3
✏ x(x-3)+1(x-3)
✏ x(x-3)+1(x-3)
✏ (x-3)(x+1)
✺ Therefore :
✏ x²-2x-3 = (x-3)(x+1)
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⠀⠀⠀⠀ ☛...Question...☚⠀ ⠀
✰✰⠀Split middle term of x² - 2x - 3 ⠀⠀⠀
⠀⠀⠀⠀⠀☛...Solution...☚ ⠀⠀
Using middle term splitting method...
- ✂⠀x² - 2x - 3
- ✂⠀x² - 3x + x - 3
- ✂⠀x ( x - 3 ) + 1 ( x - 3 )
- ✂⠀( x + 1 ) ( x - 3 )⠀⠀⠀ ⠀
Therefore, the factors of x² - 2x - 3 will be (x + 1) (x - 3)... ⠀⠀ ⠀⠀⠀
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