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Divide p(x) by g(x) in each of the follo...

Divide p(x) by g(x) in each of the following questions and find the quotient q(x) and remainder r(x) :
`p(x)=x^(4)+1, " "g(x)=x-1`

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The correct Answer is:
`q(x)=x^(3)+x^(2)+x+1, " " r(x)=2`
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NAGEEN PRAKASHAN ENGLISH-POLYNOMIALS-Exercise 2c
  1. Divide p(x) by g(x) in each of the following questions and find the qu...

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  2. Divide p(x) by g(x) in each of the following questions and find the qu...

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  3. Divide p(x) by g(x) in each of the following questions and find the qu...

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  4. Divide p(x) by g(x) in each of the following questions and find the qu...

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  5. Divide p(x) by g(x) in each of the following questions and find the qu...

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  6. Divide p(x) by g(x) in each of the following questions and find the qu...

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  7. Divide p(x) by g(x) in each of the following questions and find the qu...

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  8. Divide p(x) by g(x) in each of the following questions and find the qu...

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  9. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  10. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  11. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  12. In each of the following cases (Q.9-12), find whether g(x) is a factor...

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  13. Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-...

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  14. Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2, is...

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  15. Polynomials ax^(3)+3x^(2)-3 " and" 2x^(3)-5x+a when divided by (x-4) l...

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  16. Find the value of 'k' if : (i) x+5, is a factor of 2x^(3)+kx^(2)-11x...

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  17. Using factor theorem, factorize the polynomial x^3-6x^2+11 x-6 .

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  18. if x^2+2x+3 ,is the factor of x^4+3px^2+2qthen find p+q

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  19. What should be subtracted from p(x)=6x^(4)+7x^(3)+26x^(2)-25x+25 so th...

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  20. When a polynomial f(x) is divisible by x-3 and x+6, the respective rem...

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