show that x+2 is a factor of f(x)= x³+ 2 x²-x-2. hence factorise f(X) completely
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Answer: show that x+2 is a factor of f(x)= x³+ 2 x²-x-2.
Factorise x³-2x²-x+2→
x³-2x²-x+2
=> x²(x-2)-1(x-2)
=> (x²-1)(x-2)
(1 can be Expressed as 1²)
=> (x²-1²)(x-2)
(a²-b² = (a+b)(a-b))
=> (x+1)(x-1)(x-2)
The factors of x³-2x²-x+2 are→
(x+1)(x-1)(x-2)
HOPES IT HELPS
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