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If a polynomial f (x) is divided by (x+a...

If a polynomial f (x) is divided by `(x+a)` , then the remainder obtained is _______.

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The correct Answer is:
`f(-a)`
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PEARSON IIT JEE FOUNDATION-REMAINDER AND FACTOR THEOREMS-TEST YOUR CONCEPTS (very short Answer type Questions)
  1. Let f(x) =a(0)x^(n)+a(1)x^(n-1)+...+a(n)(a(0)ne0) be a polynomial of ...

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  2. If a polynomial f (x) is divided by (x+a) , then the remainder obtaine...

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  3. If aa n db are distinct integers, prove that a-b is a factor of a^n-b^...

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  4. If f(x)=x^(3)+2 is divided by x+2. Then the remainder obtained is .

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  5. The condition for which ax^(2)+bx+a is exactly divisible by x-a is .

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  6. If x+1 is a factor of x^(n)+1 , then n is .

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  7. The remainder when f(x)=x^(3)+5x^(2)+2x+3 is divided by x is .

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  8. The remainder when (x-a)^(2)+(x-b)^(2) is divided by x is .

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  9. The remainder when x^(6)-4x^(5)+8x^(4)-7x^(3)+3x^(2)+2x-7 is divided b...

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  10. For two odd numbers x and y , if x^(3)+y^(3) is divisible by 2^(k),...

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  11. One of the factors of 2x^(17)+3x^(15)+7x^(33) is . (x^(17)//x^(15)//x^...

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  12. If (x-2)^(2) is the factor of an expression of the form x^(3)+bx+c, ...

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  13. What should be added to 3x^(3)+5x^(2)-6x+3 to make it exactly divisi...

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  14. The remainder when 2x^(6)-5x^(3)-3 is divided by x^(3)+1 is .

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  15. The remainder when f (x) is divided by f (x) is f(-(3)/(2)), then g ...

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  16. Find the remainder when the polynomial x^(2)+13x+11 is divided by x - ...

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  17. Find the value of the polynomial a^(2)-(1)/(6)a+(3)/(2) when a=(1)/(2)...

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  18. The polynomial 7x^(2)-11x+a when divided by x + 1 leaves a remainder ...

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  19. If x +2 is a factor of f( x) and f(x) =x^(3)+4x^(2)+kx-6, then find t...

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  20. Find the values of a if x^(3)-5x(a-1)-3(x+1)+5a is divisible by x - a...

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