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If n be a whole number and a(0),a(1),a(2...

If n be a whole number and `a_(0),a_(1),a_(2),..............,a_(n)(a_(n)ne0)` are constants, then the polynomial `p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+.............+a_(1)x+a_(0)` will be a zero polynomial, when

A

p(0) = 1

B

`p(a_(0))=0`

C

`p(a_(n))=0`

D

p(x) = 0

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.1
  1. If n be a whole number and a(0),a(1),a(2),..............,a(n)(a(n)ne0)...

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  2. If p(x)=a(n)x^(n)+a(n-1)x^(n-1)+a(n-2)x^(n-2)+.............+a(1)x+a(0)...

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  3. If p(x)=a(n)x^(n)+a(n-1)x^(n-1)+.............+a(1)x+a(0), where n is a...

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  4. If p(x)=a(n)x^(n)+a(n-1)x^(n-1)+.............+a(1)x+a(0), where n is a...

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  5. If x be an integer, then in which case of the followings, x will be a ...

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  6. If p be an integer, then in which case of the followings, p will be a ...

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  7. Which one of the followings is not a polynomial ?

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  8. Which one of the following is a quadratic polynomial of two variables ...

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  9. Which one of the followings is a polynomial of degree 0 ?

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  10. The degree of a constant polynomial is

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  11. The degree of the zero polynomial is

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  12. Give an example of a constant polynomial and of a zero polynomial each...

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  13. What is called the degree of polynomials ? What is the degree of a z...

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  14. What are the two conditions for which the expression p(x)=a(n)x^(n)+a(...

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  15. Is root(3)(11) a polynomial ? Give reasons in favour of your answer.

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  16. Write the standard form of the linear polynomial. Express x as the sta...

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  17. Write the standard form of quadratic polynomials. Express 1 as a quadr...

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  18. If m be a whole number, then determine the degree of the polynomial (x...

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  19. Determine the degree and number of terms of the polynomial ((x^(3)-1)/...

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  20. Define polynomials. Give two examples of polynomials.

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