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In the polynomial x^2+a x+b, what number...

In the polynomial `x^2+a x+b`, what numbers must be taken as a and 'b', to get a polynomial for which '(x-2)' and '(x-3)' as factors?

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V PUBLICATION-POLYNOMIÁS-QUESTION BANK
  1. In the polynomial x^2+k x+6, what number must be taken as 'k' to get a...

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  2. In the polynomial kx^2+2 x-5, 'what number must be taken as 'k', to ge...

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  3. In the polynomial x^2+a x+b, what numbers must be taken as a and 'b', ...

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  4. Prove that the polynomial. x^2+4 x+5 cannot be written as a product of...

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  5. Write the polynomial x^2-9 x-22 as the product of two first degree pol...

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  6. a) Write the second degree polynomial 'p(x)=x^2+x-6 as the product of ...

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  7. What number should be added to the polynomial p(x)=x^2+x-1, so that '(...

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  8. Factorise x^2-2 x+1 into first degree polynomials.

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

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

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

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

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

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

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

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

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

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

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

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

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