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What are the two conditions for which the expression `p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+..........+a_(1)x+a_(0)` is a polynomial ?

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If p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+.............+a_(1)x+a_(0) , where n is a whole number and a_(0)=a_(1)=a_(2)= ………….. =a_(n-1)=0nea_(n) , then p(1) =

If p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+.............+a_(1)x+a_(0) where n is a whole number and a_(0),a_(1),a_(2),……………,a_(n)(a_(n)ne0) are all constants, then p(0) =

CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.1
  1. Give an example of a constant polynomial and of a zero polynomial each...

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

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

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

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

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

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

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

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  9. Define polynomials. Give two examples of polynomials.

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  10. What do you mean by constant polynomials. Give two examples of constan...

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  11. What is zero polynomials ? What is the degree of zero polynomials ? Wr...

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  12. Determine which of the following algebraic expressions are polynomials...

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  13. Determine which of the following algebraic expressions are polynomials...

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  14. Determine which of the following algebraic expressions are polynomials...

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  15. Determine which of the following algebraic expressions are polynomials...

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  16. Determine which of the following algebraic expressions are polynomials...

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  17. Determine which of the following algebraic expressions are polynomials...

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  18. Determine which of the following algebraic expressions are polynomials...

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  19. Determine which of the following algebraic expressions are polynomials...

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  20. Determine the co-efficients according to the directions given of the f...

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