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Divide the polynomial p(x)=x^4 -3x^2+4x...

Divide the polynomial `p(x)=x^4 -3x^2+4x+5` by the polynomial `g(x)=x^2-x+1` and find quotient and remainder.

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Verified by Experts

On dividing `p(x)` by `g(x)`, we get:
Quotient`=x^2+x-3`
Remainder`=8`
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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. Divide each of and find the quotient and remainder: 30 x^4+11 x^3-...

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

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

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

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

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

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

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

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

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  11. Divide 12 x^3-8x^2-6x+10\ b y\ (3x-2)dot Also, write the quotient and ...

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  12. Divide 8y^3-6y^2+4y-1\ b y\ 4y+2. Also write the quotient and the rema...

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  13. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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  14. Divide the first polynomial by the second polynomial in each of the ...

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  15. Divide the first polynomial by the second polynomial in each of the ...

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  16. Find , whether or not the first polynomial is a factor of the second...

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  17. Find , whether or not the first polynomial is a factor of the second...

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  18. Find , whether or not the first polynomial is a factor of the second...

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  19. Divide: 35 a^2+32 a-99\ b y\ 7a-9 a x^2+(b+a c)x+b c\ b y\ x+c

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  20. Divide (a^(4) - b^(4)) by a - b and find the quotient and remainder .

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