Question

Factorise: x⁴ - 3x² + 2.
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Answer 1

Answer: x4–3x2+2  

=x4−x3+x3−x2–2x2+2

=x3(x−1)+x2(x−1)−2(x2–1)

=x3(x−1)+x2(x−1)−2(x+1)(x−1)

=(x−1){x3+x2–2(x+1)}

=(x−1)(x3+x2–2x−2)

Answer 2

Answer: x⁴-3x²+2

put x²= y

then our new equation will be

y²-3y+2

by splitting we get

y²-2y-y+2

y(y-2)-1(y-2)

(y-1)(y-2)

now re substitute

(x²-1)(x²-2)

here is your factor

Explanation: hope it helps

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