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State Division algorithm for polynomials...

State Division algorithm for polynomials

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State division algorithm to calculate HCF.

What is an algorithm?

Divide 4x^(3)-11x^(2)+7x-2 by 1+x-x^(2) and verify the division algorithm. Note Always write the divided and divisor in standard form i.e., decreasing order of the variable.

State Euclid Division lemma

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^4-5x+6 by g(x)=2-x^2

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^3-3x^2+5x-3 by g(x)=x^2-2

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^4-3x^2+4x+5 by g(x)=x^2+1-x

Apply the division algorithm to find the quotient and remainder on dividing f(x)=x^3-6x^2+11 x-6 by g(x)=x+2

Property 7 (DIvision Algorithm) If a whole number a is divided by a non-zero whole number b then there exists whole numbers q and r such that a = bq + r whole either r = 0 or r < b .

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the ...

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  2. If x=1 is a zero of the polynomial f(x)=x^3-2x^2+4x+k , write the valu...

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  3. State Division algorithm for polynomials

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  4. Give an example of polynomials f(x),\ \ g(x),\ \ q(x) and r(x) satisfy...

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  5. Write a quadratic polynomial, sum of whose zeros is 2sqrt(3) and th...

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  6. If fourth degree polynomial is divided by a quadratic polynomial, writ...

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  7. If f(x)=x^3+x^2-a x+b is divisible by x^2-x write the values of a and ...

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  8. If a-b ,\ a and a+b are zeros of the polynomial f(x)=2x^3-6x^2+5x-7 , ...

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  9. Write the coefficients of the polynomial p(z)=z^5-2z^2+4 .

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  10. Write the zeros of the polynomial x^2-x-6 .

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  11. If (x+a) is a factor of 2x^2+2a x+5x+10 , find a .

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  12. For what value of k ,if -4 is a zero of the polynomial x^2-x-(2k+2) ?

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  13. If 1 is a zero of the polynomial p(x)=a x^2-3(a-1)x-1 , then find the ...

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  14. If alpha,\ beta are the zeros of the polynomial such that alpha+bet...

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  15. If alpha,\ beta are the zeros of the polynomial 2y^2+7y+5 , write the ...

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  16. For what value of k , is 3 a zero of the polynomial 2x^2+x+k ?

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  17. For what value of k , is -3 a zero of the polynomial x^2+11 x+k

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  18. If a quadratic polynomial f(x) is factorizable into linear distinct...

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  19. If a quadratic polynomial f(x) is a square of a linear polynomial, t...

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  20. If a quadratic polynomial f(x) is not factorizable into linear fact...

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