x^3 – 5x² - x +5. Answer it
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To factorise?
p(x) = x³ - 5x² - x + 5
By hit and trial, you'll get x = 1 makes polynomial 0.
So, (x - 1) is a factor.
Now, divide p(x) by (x - 1).
You can use synthetic division.
See image.
Then, you'll get:
(x - 1) (x² - 4x - 5)
Now, factorise it further.
(x - 1)(x² + x - 5x - 5)
( x - 1 ) ( x+ 1 ) ( x - 5 )
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