using remainder theorem factorise x cube minus 3 x square minus x minus plus 3
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8
Answer:
(x+1)(x-1)(x-3)
Step-by-step explanation:
p(x) = x³-3x²-x+3
By hit and trial , p(1) = 0
So , by remainder theorem (x-1) is one of its factor.
Now , dividing p(x) by x-1 , we get quotient as x²-2x-3
x²+x-3x-3
x(x+1)-3(x+1)
(x+1)(x-3)
These two are remaining two factors of p(x).
p(x) = (x-1)(x+1)(x-3)
= (x+1)(x-1)(x-3)
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