Question

# find the no. of the factor for the polinomial- f(x)= x^9- x ​

Answer 1

Answer:

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Step-by-step explanation:

f(x)=x9−x

=x(x8−1)

=x[(x4)2−(1)2]

=x[(x4−1)(x4+1)]

=x(x4+1)[(x2)2−12]

=x(x4+1)(x2+1)(x2−1)

=x(x4+1)(x2+1)(x−1)(x+1)

∴ There are 5 factors of f(x)⇒(x),(x4+1),(x2+1),(x−1) and (x+1)

I think it helps u

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