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Which one of the followings is an equati...

Which one of the followings is an equation ?

A

`x^(2)-y^(2)=(x+y)(x-y)`

B

`x^(3)+y^(3)=(x+y)^(3)-3xy(x+y)`

C

`xy=((x+y)/2)^(2)-((x-y)/2)^(2)`

D

`x^(2)+p=(p+1)x`

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CALCUTTA BOOK HOUSE-POLYNOMIALS-EXERCISE-1.3
  1. Which one of the followings is an identity ?

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  2. Which one of the followings is an equation ?

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  3. The roots of the equation of the polynomial p(x,y)=x^(2)+y^(2) are-

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  4. If one of the roots of the equation of the polynomial p(x)=x^(2)-7ax-1...

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  5. The number of roots of any linear polynomial is-

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  6. If the polynomial p(x)=4x^(4)+4x^(3)-19x^(2)-16x+12 be divided by (x -...

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  7. If the polynomial p(x)=x^(3)+3x^(2)+3x+1 be divided by (x-pi), the rem...

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  8. Determine the remainder when (x^(2)-2pix+pi) is divided by (x-2pi).

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  9. If q(t)=4t^(3)+4t^(2)-t-1andq(-1/2)=0, then determine the polynomial ...

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  10. Find the value of k if p(x)=x^(2)+kx+6andp(2)=0.

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  11. Find the remainder if f(x)=x^(3)+4x^(2)+4x-3 is divided by x.

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  12. Determine the value of c if one of the roots of the equation of the po...

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  13. If f(x)=x^(2)-4x+14, g(x) = x - 1, q(x) = x - 3 and f(x) = g(x) q(x) +...

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  14. Find the roots of the equation of the polynomial p(x) = cx + d.

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  15. Determine the roots of the equation of the polynomial f(x,y)=x^(2)-y^(...

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  16. If the polynomial p(x)=x^(4)-a^(2)x^(2)+2x-a be divisible by (x + a), ...

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  17. If f(x) = (x - 7) q(x) + r(x), where f(x)=x^(3)-7x^(2)+1 and r(x) = 1,...

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  18. What is the vital difference between identity and equation ?

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  19. What is meant by the root of an equation ? Find the root of the equati...

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  20. State and prove Remainder theorem.

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