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Using division show that 3y^2+5 is facto...

Using division show that `3y^2+5` is factor of `6y^5+15 y^4+16 y^3+4y^2+10 y-35.`

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Using division of polynomials state whether x+6 i s fa c tor of x^2-x-42 4x-1 i s a fa c tor of 4x^2-13 x-12 2y-5 i s fa c tor of 4y^4-10 y^3 10^2+30 y-15 3y^2+5 i s fa c tor of 6y^5+15^4+16^3+4y^2+10 y-35

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Find,whether or not the first polynomial is a factor of the second: x+1,2x^(2)+5x+4y-2,3y^(3)+5y^(2)+5y+24x^(2)-5,4x^(4)+7x^(2)+15

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3x-4y = 10.4x + 3y = 5

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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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  2. Divide: 10 x^4+17 x^3-62 x^2+30 x-3\ b y\ 2x^2+7x-1

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  3. Using division show that 3y^2+5 is factor of 6y^5+15 y^4+16 y^3+4y^2+1...

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  4. Divide: 3y^5+6y^4+6y^3+7y^2+8y+9\ b y\ 3y^3+1 and verify that dividend...

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

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  6. 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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  7. Divide: 5x^3-15 x^2+25x by 5x 4z^3+6z^2-z by -1/2z

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  8. Divide: 3x^3y^2+2x^2y+15xy by 3x y x^2+7x+12 by x+4

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  9. 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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  10. 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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  11. 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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  12. Divide each of and find the quotient and remainder: 14 x^3-5x^2+9x-...

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

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

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

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

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

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

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  19. Using division of polynomials state whether x+6 is factor ofx^2-x-4...

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

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