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Find the remainder when the polynomial f`f(x)=2x^4-6x^3+2x^2-x+2` is divided by `x+2`divisor

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To find the remainder when the polynomial \( f(x) = 2x^4 - 6x^3 + 2x^2 - x + 2 \) is divided by \( x + 2 \), we can use the Remainder Theorem. According to the theorem, the remainder of the division of a polynomial \( f(x) \) by \( x - c \) is equal to \( f(c) \). In this case, since we are dividing by \( x + 2 \), we can set \( c = -2 \). ### Step-by-Step Solution: 1. **Identify the polynomial and the divisor**: - The polynomial is \( f(x) = 2x^4 - 6x^3 + 2x^2 - x + 2 \). - The divisor is \( x + 2 \). ...
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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Find the reminder when, p(x)=x^4-3x^2+2x+1 ,is divided by (x-1)

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  2. Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

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  3. Find the remainder when the polynomial ff(x)=2x^4-6x^3+2x^2-x+2 is d...

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  4. Find the remainder when p(x)=4x^3-12 x^2+14 x-3 is divided by g(x)=x-1...

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  5. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  6. Find the remainder when f(x)=x^3-6x^2+2x-4 is divided by g(x)=3x-1.

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  7. If the polynomials a x^3+4x^2+3x-4 and x^3-4x+a leave the same remaind...

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  8. The polynomials a x^3+3x^2-13 and 2x^3-5x+a are divided by x+2, if the...

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  9. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

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  10. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

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  11. Check whether the polynomial q(t)=4t^3+4t^2-t-1is a multiple of 2t+1

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  12. f(x)=x^3+4x^2-3x+10 ,\ g(x)=x+4

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  13. बहुपद f (x ) को बहुपद g (x ) से विभाजित करने पर शेषफल प्रमेय की सहायता...

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  14. Find the remainder when P(x)-:G(x) (i)P(x)= 2x^4-6x^3+2x^2-x+2 ; G(x...

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  15. f(x)=4x^3-12 x^2+14 x-3,\ g(x)=2x-1

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  16. f(x)=x^3-6x^2+2x-4,\ g(x)=1-2x

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  17. Find the remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 is.

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  18. f(x)=9x^3-3x^2+x-5, g(x)=x-2/3

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  19. f(x)=3x^4+2x^3-(x^2)/3-x/9+2/(27), g(x)= x+2/3

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  20. If the polynomials a x^3+3x^2-13 and 2x^3-5x+a , when divided by (x-2)...

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