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Find the values of a and b so that x^4+x...

Find the values of a and b so that `x^4+x^3+8x^2+a x+b` is divisible by `x^2+1.`

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RD SHARMA ENGLISH-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Divide: 3y^5+6y^4+6y^3+7y^2+8y+9\ b y\ 3y^3+1 and verify that d i v i ...

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  2. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

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  3. Find the values of a and b so that x^4+x^3+8x^2+a x+b is divisible by ...

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  4. Divide: 5x^3-15 x^2+25 x\ b y\ 5x 4z^3+6z^2-z\ b y-1/2z

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  5. Divide: 3x^3y^2+2x^2y+15 x y\ b y\ 3x y x^2+7x+12\ b y\ x+4

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  6. Divide: 3x^3+4x^2+5x+18\ b y\ x+2 & 14 x^2-53 x+45\ b y\ 7x-9

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  7. Divide: 3y^4-3y^3-4y^2-4y^2-4y-b y\ y^2-2y 2y^5+10 y^4+6y^3+y^2+5y...

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  8. Divide: m^3-14 m^2+37 m-26\ b y\ m^2-12 m+13 x^4+x^2+1\ b y\ x^2+x...

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  9. Divide each of and find the quotient and remainder: 14 x^3-5x^2+9x...

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  10. Divide each of and find the quotient and remainder: 6x^3-x^2-10 x-...

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  11. Divide each of and find the quotient and remainder: 6x^3+11 x^2-39...

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  12. Divide each of and find the quotient and remainder: 30 x^4+11 x^3-...

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  13. Divide the polynomial p(x)=x^4 -3x^2+4x+5 by the polynomial g(x)=x^2-...

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  14. Verify division algorithm i.e. Dividend = Divisor x Quotient + Remai...

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  15. Divide 15 y^4+16 y^3+(10)/3y-9y^2-6\ \ b y\ \ \ 3y-2. Write down the c...

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  16. Using division of polynomials state whether x+6\ i s\ factor \ of\ x...

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  17. Find the value of a, if x+2\ is a factor of \ 4x^4+2x^3-3x^3+8x+5adot

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  18. What must be added to x^4+2x^3-2x^2+x-1\ so that the resulting polyno...

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  19. Divide x^4-x^3+x^2+5\ b y\ (x+1) and write the quotient and remainder.

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  20. Divide: 16 x^4+12 x^3-10 x^2+8x+20\ b y\ 4x-3. Also write the quotient...

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