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If x-r is a factor of the polynomial f(x...

If `x-r` is a factor of the polynomial `f(x)=a_0x^n+a_1x^(n-1)++a_n` repeated `m` times, `(1

Text Solution

Verified by Experts

Since, `(x-r)` is factor of the polynomial
`f(x)a_(n)x^(n)+a_(n-1)x^(n-1)+...+a_(0)`
Then, x=r is root of f'(x)=0 repeated (m-1) times. Hence, statement is false.
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