Find the number of factors for the polynomial f(x)
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Answered by
15
Answer :
Now, f (x) = x⁹ - x
= x (x⁸ - 1)
= x (x⁴ - 1) (x⁴ + 1)
= x (x² - 1) (x² + 1) (x⁴ + 1)
= x (x - 1) (x + 1) (x² + 1) (x⁴ + 1),
which is the required factorization.
Thus, there are 5 factors of the given polynomial.
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Now, f (x) = x⁹ - x
= x (x⁸ - 1)
= x (x⁴ - 1) (x⁴ + 1)
= x (x² - 1) (x² + 1) (x⁴ + 1)
= x (x - 1) (x + 1) (x² + 1) (x⁴ + 1),
which is the required factorization.
Thus, there are 5 factors of the given polynomial.
#MarkAsBrainliest
cbhargava04:
But the answer at the back of book is given as 5 please tell..
Thanx a lot
Ok tomorrow is my exam it helped me a lot
Thank you
Answered by
2
Answer:
There are 5 factors of x⁹-x
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