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

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

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To find the remainder when the polynomial \( f(x) = 4x^3 - 12x^2 + 14x - 3 \) is divided by \( g(x) = 2x - 1 \), we can use polynomial long division. Here’s the step-by-step solution: ### Step 1: Set Up the Division We need to divide \( f(x) \) by \( g(x) \): \[ \text{Divide } 4x^3 - 12x^2 + 14x - 3 \text{ by } 2x - 1. \] ...
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Find the remainder when p(x)=4x^(3)-12x^(2)+14x-3 is divided by g(x)=x-(1)/(2)

RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. बहुपद f (x ) को बहुपद g (x ) से विभाजित करने पर शेषफल प्रमेय की सहायता...

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

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

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

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

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

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

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  9. The polynomials a x^3+3x^2-3 and 2x^3-5x+a when divided by (x-4) leave...

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

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  11. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x...

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  12. Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x-...

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  13. Show that (x-3) is a factor of the polynomial x^3-3x^2+4x-12

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  14. Show that (x-1) is a factor of x^(10)-1 and also of x^(11)-1.

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  15. Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

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  16. Without actual division prove that 2x^4- 6x^3 +3x^2+3x-2 is exactly di...

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  17. Find the value of a , if x-a is a factor of x^3-a^2x+x+2

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  18. Find the value of k , if x+3 is a factor of 3x^2+k x+6.

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  19. Determine the value of a for which the polynomial 2x^4-a x^3+4x^2+2x+1...

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  20. Find the value of a and b so that the polynomial x^3-a x^2-13 x+b has ...

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