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Using remainder thereom, find the reamin...

Using remainder thereom, find the reaminder when (i) `x^(4) +x^(3) + x^(2)` is divided by (x+2)
(ii) `x^(2) + x^(3) + 1` is divided by (x-3)

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The correct Answer is:
(i) 4 (ii) 3
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
  1. Which one of the following is polynomial?

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  2. Using remainder thereom, find the reaminder when (i) x^(4) +x^(3) + x...

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  3. Factorization of Polynomial or expression- xa + ya + xz + yz

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  4. Factorization of Polynomial or expression- x^(2) + 5x + 6

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  5. Factorization of Polynomial or expression- x^(2) + 7xy + 12y^(2)

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  6. If (5x^(2)-3y^(2))/(xy)= (11)/(2), find the positive value of (x)/(y)

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  7. Which one of the following is not a factor of this polynomial x^(8) + ...

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  8. Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)), if x= a^(2) + b^(2) and ...

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  9. If a^(4) + a^(2)b^(2) + b^(4) = 12, a^(2) + ab+ b^(2)=4, find ab

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  10. If a^(4) + a^(2) b^(2) +b^(4)=8, a^(2) + b^(2) + ab= 4 find ab

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  11. If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

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  12. Factor of x^(2)-x^(26)-x^(23) +1

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  13. If (x-2) is a factor of polynomial x^(2) + kx+4. Find the value of k

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  14. If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1). Find the value ...

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  15. If (x+1) and (x-1) are factor of ax^(3) + bx^(2) + 3x+5. Find the valu...

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  16. Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)

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  17. (x^(2)-7x+15)/(x-3), find remainder

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  18. If x^(2)+x+4 is divided by (x-1), find the remainder

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  19. If x^(11) +3 is divided by (x+1), find the remainder

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  20. If x^(51) +51 is divided by x+1 , then the remainder is

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