factories 3x³-x²-3x+1
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Question:
factorise 3x³-x²-3x+1
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SOLUTION:
Solving it using long division method:
Let p(x) = 33 – 2 – 3 + 1
(1) = 3(1) 3 − (1)2 − 3(1) + 1
= 3 − 1 − 3 + 1
= 4 − 4 = 0
⟹ ( − 1) is a factor of ().
p(x) = (x – 1) (3x² + 2x – 1)
= (x – 1) (3x² + 3x – 1x – 1)
(x – 1)( 3x(x + 1) – 1(x + 1))
= (x – 1) (3x – 1) (x + 1)
This is your answer.
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