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Let f(x) =a(0)x^(n)+a(1)x^(n-1)+...+a(n)...

Let f(x) `=a_(0)x^(n)+a_(1)x^(n-1)+...+a_(n)(a_(0)ne0)` be a polynomial of degree n . If x+1 is one of its factors, then______.

A

If n is a negative integer and `a _(n) ne 0`

B

If n is a positive interger and `a _(0) ne 0`

C

If n is any integer

D

Only when n is a positive integer

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT PUBLICATION PUNJAB-ALGEBRA -CHAPTER EXERCISE
  1. Let f(x) =a(0)x^(n)+a(1)x^(n-1)+...+a(n)(a(0)ne0) be a polynomial of ...

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  2. Which of the following is a trinomial ?

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  3. Which of the following expressions is not a polynomial ?

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  4. The degree of the polynomial 3a ^(2) + 4b ^(3) - 5 ab ^(3) + 7 - 5a ^(...

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  5. If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find...

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  6. If (x +2) and (x - 3) are the factors of the function (x ^(3) + ax +b)...

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

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  8. What is the remainder when (4x ^(3) - 3x ^(2) + 2x -1) is divided by (...

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  9. The polynomial f (x) = ax ^(3) + 9x ^(2) + 4x - 8, when divided by (...

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  10. If x ^(3) - 7x + 4 is divided by (x-1), (x +2) and (2x +1), then the ...

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  11. Find the sum of the expresson - 15 a ^(2) + 3 ab - 6b ^(2) a ^(2) ...

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  12. What must be sutracted from (x ^(3) + 4x ^(2) - 6x - 14) to obtain a p...

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  13. If - 3a + 2b + 5c is subtracted from 2a + b - 8c, what will be the res...

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  14. Fin the value of ( - 14 a ^(4) b ^(3) c) / (- 7 abc)

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  15. Find the sum of the expressions - 3a ^(2) + 2 ab - 4b^(2) and - 6a ...

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  16. Find the value of the product (x ^(2) - x +2) xx ( x ^(2) + x -2).

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  17. What should be added x + 2 y + z, so that the sum be z

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  18. What must be sutracted from a ^(3) - 3a ^(2) b + 3 ab ^(2) - b ^(3) g...

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  19. Factors of 8x ^(3) + 64 are

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  20. Factorise the expression a ^(3) b ^(2) + a ^(2) b ^(3)

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