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If x-c is a factor of order m of the pol...

If `x-c` is a factor of order `m` of the polynomial `f(x)` of degree n (1 < m < n) , then find the polynomials for which `x=c` is a root.

A

`f^(m)(x)`

B

`f^(m-1)(x)`

C

`f''(x)`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  2. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

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  3. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

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  4. If a and b are two distinct real roots of the polynomial f(x) such th...

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  5. If ax^3+ bx - c is divisible by x^2+bx+c, then 'a' is a root of the ...

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  6. If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...

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  7. Root (s) of the equation 9x ^(2) -18|x|+5=0 belonging to the domain of...

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  8. If x=1+i is a root of the equation =x^3-i x+1-i=0, then the other real...

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  9. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

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  10. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...

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  11. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

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  12. The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...

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  13. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

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  14. If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b...

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  15. Show that A.M. of the roots of x^(2) - 2ax + b^(2) = 0 is equal to ...

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  16. If alpha, beta are the roots of the quadratic equation x ^(2)+ px+q=0...

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  17. If the roots of the equation (1)/(x+p) +(1)/(x+q) =1/r are equal in ma...

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  18. If the ratio of the roots of the equation x^(2)+px+q=0 is equal to the...

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  19. Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^...

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  20. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

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