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Prove that (2x+5) is a factor of the pol...

Prove that `(2x+5)` is a factor of the polynomial `2x^(2)+11x+15.`

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2x^(2)-11x+5=0

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. When x^3+3x^2-kx+4 is divided by x-2 the remainder is k. find the valu...

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  2. Show that (x-2) is a factor of the polynomial 2x^(2)-5x+2

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  3. Prove that (2x+5) is a factor of the polynomial 2x^(2)+11x+15.

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  4. Prove that (a-b) is a factor of (a^(3)-b^(3)).

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  5. If (x-3) and (x+4) are both the only factors of f(x) then find f(x)

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  6. Find the HCF and LCM of the following polynomials (x+2)^(2)(x-3)^(2)(x...

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  7. Find the HCF and LCM of the following polynomials 22x(x+1)^(2), 36x^(2...

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  8. Find the HCF and LCM of (3+13x-30x^(2)) and (25x^(2)-30x+9).

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  9. The HCF of two polynomials is (x-2)(x+3) and their LCM is (x-2)^(2)(x+...

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  10. Which of the following algebric expressions are polynomials? x^2-sqrt...

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  11. Which of the following algebric expressions are polynomials? x^3-3x^2...

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  12. Which of the following algebric expressions are polynomials? sqrt2x^2-...

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  13. Which of the following algebric expressions are polynomials? x^3-2x+x...

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  14. Express the following in the lowest terms (x^2+4x+4)/(x^2-4)

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  15. Factorize x(y^(2)+z^(2))+y(z^(2)+x^(2))+z(x^(2)+y^(2))+2xy

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  16. x y : y z : z x = 1 : 5 : 9 Find ( x + y ) : ( y + z ) : ( z + x ) =...

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  17. Shweta scored x marks in Maths,y marks in science and 40 marks in Eng...

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  18. Quotient of z by 4 is multiplied by thrice the number y.

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  19. Express 6xxpxxqxxrxxpxxpxxp in the exponential form :

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  20. Find the number of terms in 2x^(2)-(3)/(x)+(5)/(x^(2))+9.

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