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Check whether the polynomial q(t)=4t^3+4...

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

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Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^(2)-3,2t^(4)+3t^(3)-2t^(2)-9t-12

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Check whether the first polynomial is factor of Second polynomial by dividing: t^2-3,2t^(4)+3t^(3)-2t^(2)-9t-12 (ii) x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2 (iii) x^(3)-3x+1,x^(5)-4x^(3)+x^(2)+3x+1

Check whether g(t)=t^(2)-3 is a factor of f(t)=2t^(4)+3t^(3)-2t^(2)-9t-12 by applying the division algorithm.

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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
  1. Let R1 and R2 are the remainders when the polynomials x^3+2x^2-5a x-7 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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