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Define zero of a polynomial....

Define zero of a polynomial.

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Method to determine zeros of a polynomial

Define value of a polynomial at a point.

Define degree of a polynomial.

If one zero of the polynomial is 7 and product of zeroes is -35, then polynomial is:

lf one zero of the polynomial is 7 and product of zeroes is -35, then the polynomial is

Find the quadratic polynomial whose zeros are 2 and - 6 verify the relation between the coefficients and the zeros of the polynomial.

Find the quadratic polynomial, sum of whose zeros is 8 and their product is 12 . Hence, find the zeros of the polynomial.

Find a quadratic polynomial, the sum of whose zeroes is 5 and their product is 6. Hence, find zeroes of the polynomial.

Find the quadratic polynomial whose zeros are 2/3 and (-1)/4 . Verify the relation between the coefficients and the zeros of the polynomial.

Find a quadratic polynomial whose zeros are 1 and -3 . Verify the relation between the coefficients and zeros of the polynomial.

RD SHARMA-POLYNOMIAL-All Questions
  1. Write the standard form of a cubic polynomial with real coefficients.

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  2. Define value of a polynomial at a point.

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  3. Define zero of a polynomial.

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  4. The sum and product of the zeros of a quadratic polynomial are -1/2 an...

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  5. Write the family of quadratic polynomials having -1/4 and 1 as its ...

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  6. If the product of zeros of the quadratic polynomial f(x)=x^2-4x+k is 3...

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  7. If the sum of the zeros of the quadratic polynomial f(x)=k x^2-3x+5 is...

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  8. In Fig. 2.17, the graph of a polynomial p(x) is given. Find the zer...

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  9. The graph of a polynomial y=f(x) , shown in Fig. 2.18. Find the number...

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  10. The graph of the polynomial f(x)=a x^2+b x+c is as shown below (Fig...

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  11. The graph of the polynomial f(x)=a x^2+b x+c is as shown in Fig. 2....

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  12. In Q. No. 14, write the sign of c .

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  13. In Q. No. 15, write the sign of c .

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  14. The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the ...

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

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  16. Division algorithm for polynomials

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

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

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

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  20. 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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