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Find all zeros of the polynomial f(x)=x^...

Find all zeros of the polynomial `f(x)=x^3+3x^2-2x-6` , if two of its zeros are `-sqrt(2)` and `sqrt(2)` .

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RD SHARMA-POLYNOMIAL-All Questions
  1. Find all zeros of the polynomial f(x)=x^4+x^3-34 x^2-4x+120 , if two o...

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  2. Find all zeros of the polynomial f(x)=2x^3+x^2-6x-3 , if two of its ze...

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  3. Find all zeros of the polynomial f(x)=x^3+3x^2-2x-6 , if two of its ze...

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  4. Define a polynomial with real coefficients.

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  5. Define degree of a polynomial.

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  6. Write the standard form of a linear polynomial with real coefficients.

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  7. Write the standard form of a quadratic polynomial with real coefficien...

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  8. Write the standard form of a cubic polynomial with real coefficients.

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  9. Define value of a polynomial at a point.

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  10. Define zero of a polynomial.

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

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

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

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

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

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

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

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

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

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

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