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Prove that none of the polynomials below...

Prove that none of the polynomials below can be factored into a product of first degree polynomials:-`x^2+x+1`.

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Prove that none of the polynomials below can be factored into a product of first degree polynomials:- x^2+2x + 2 .

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V PUBLICATION-POLYNOMIÁS-QUESTION BANK
  1. Factorise x^2-2 x+1 into first degree polynomials.

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  2. Write 2 x^2-7 x+6 as the product of two first degree polynomials.

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  3. Prove that none of the polynomials below can be factored into a produc...

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  4. Write the second degree polynomials given below as the product of two ...

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  5. Prove that none of the polynomials below can be factored into a produc...

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  6. In the polynomial p(x)=x^2+4x+k, upto what number can we take as k,so ...

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  7. Write the polynomial p(x)=x^2+7 x+12 as the product of first degree po...

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  8. For what values of 'x', the polynomial 2 x^2-7 x-15 is equal to zero? ...

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  9. Given 'x-1' is a factor of x^2+a x+b Prove that 'a+b=-1'

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  10. Write the polynomial p(x)=x^2+4 x+1 as the product of two first degree...

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  11. In the polynomial p(x)=x^2+a x+b, p(3+sqrt2)=0, p(3-sqrt...

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  12. What is the smallest natural number k for which the polynomial 2 x^2+k...

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  13. Check whether '(x+2)' and '(x-5)' are factors of the polynomial x^2+7 ...

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  14. p(x)=x^2-4 x+4 a) Prove that (x-2) is a factor of p(x). b) Prove tha...

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  15. If x^2+x+2=(x-2)(x+a)+b a) Find 'a' and 'b'. b) What number should b...

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  16. Write a second degree polynomial 'p(x)' in which p(sqrt2+1)=p(sqrt2-1)...

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  17. a) Find 'p(1)' if p(x)=x^2+2 x+5 b) If (x-1) is a factor of x^2+2 x+...

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  18. If x-1 is a factor of the second degree polynomial P(x)=ax^2+bx+c and ...

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  19. If (x-1) is a factor of the polynomial 5 x^3-4 x^2+x-k, what numbe...

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  20. Consider the polynomial p(x)=a x^3-x^2-b x-1 a) Find 'p ( 1 )' b) ...

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