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In the polynomial p(x)=x^2+4x+k, upto wh...

In the polynomial `p(x)=x^2+4x+k`, upto what number can we take as k,so that p(x) can be factorized as a product of two first degree polynomials?

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V PUBLICATION-POLYNOMIÁS-QUESTION BANK
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  2. Prove that none of the polynomials below can be factored into a produc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Consider the polynomial p(x)=x^3+a x^2-x+b a) Find the relation bétwe...

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  19. p(x)=a x^3+b x^2+c x+d a) Find 'p(-1)' b) If (x+1) is a factor of ...

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  20. Check whether (x-3) is a factor of the polynomial 2 x^3-x^2-3 x+4

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