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The graph of the polynomial f(x)=a x^2+b...

The graph of the polynomial `f(x)=a x^2+b x+c` is as shown in Fig. 2.20. Write the value of `b^2-4a c` and the number of real zeros of `f(x)` . (FIGURE)

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RD SHARMA-POLYNOMIAL-All Questions
  1. The graph of a polynomial y=f(x) , shown in Fig. 2.18. Find the number...

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

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

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

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

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

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

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  8. Division algorithm for polynomials

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

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

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

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

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

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

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

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

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

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

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