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Factorise it with splitting method x^4 - 3x^ 2 + 2 |
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Answer» ️Very easy, put x=1 , the polynomial will EVALUATE to 0 . This MEANS that (x−1) is a factor of the polynomial.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)=(x−1){x2(x+1)−2(x+1)}=(x−1)(x+1)(x2−2) |
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