Question

factor of polynomials x4 - 3x + 2, x3 - 3x2 + 3x-1?
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Answer 1

Answer:

4

−3x+2=x

4

−x

3

+x

3

−x

2

+x

2

−x−2x+2

=x

3

(x−1)+x

2

(x−1)+x(x−1)−2(x−1)

=(x−1)[x

3

+x

2

+x−2]

x

3

−3x

2

+3x−1=(x−1)

3

x

4

−1=(x−1)(x+1)(x

2

+1)

HCF=x−1