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If the polynomial (a^(2)+b^(2)+c^(2)-a...

If the polynomial
`(a^(2)+b^(2)+c^(2)-ab-bc-ca)x^(2)+2abcx+(a^(2)+b^(2)+c^(2))`, where a, b, c are constants, be a linear polynomial, then prove that a = b = c.

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.1
  1. Determine the co-efficients according to the directions given of the f...

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  2. Determine the degrees of the following polynomials : x^(m)-1

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  3. Determine the degrees of the following polynomials : (x^(p)-1)/(x-1)

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  4. Determine the degrees of the following polynomials : (x^(4)+x^(2)y^(...

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  5. Determine the degrees of the following polynomials : (7u^(2)-29)/(sq...

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  6. Determine which of the following polynomials are linear, quadratic and...

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  7. Determine which of the following polynomials are linear, quadratic and...

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  8. Determine which of the following polynomials are linear, quadratic and...

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  9. Determine which of the following polynomials are linear, quadratic and...

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  10. Determine which of the following polynomials are linear, quadratic and...

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  11. Determine which of the following polynomials are linear, quadratic and...

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  12. Give two examples of each of the following cases : (i) (a) Monomials...

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  13. Determine the degrees and the number of terms of each of the following...

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  14. Determine the degrees and the number of terms of each of the following...

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  15. Determine the degrees and the number of terms of each of the following...

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  16. Determine the degrees and the number of terms of each of the following...

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  17. For what value of a, the polynomial (a - 1) x + 10 will reduce to a co...

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  18. If the expression (k^(2)-2k+1)y+sqrt17 be a constant polynomial, then ...

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  19. If the polynomial (a^(2)-b^(2))x^(2)+2abx+(a^(2)+b^(2))a,b,c are const...

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  20. If the polynomial (a^(2)+b^(2)+c^(2)-ab-bc-ca)x^(2)+2abcx+(a^(2)+b^(...

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