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By applying division algorithm prove tha...

By applying division algorithm prove that the polynomial `g(x)=x^2+3x+1` is a factor of the polynomial `f(x)=3x^4+5x^3-7x^2+2x+2.`

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RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3−2x^2−10x−5, if ...

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  2. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

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  3. By applying division algorithm prove that the polynomial g(x)=x^2+3x+1...

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  4. Find the condition that the zeroes of the polynomial f(x) = x^3 – px^2...

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  5. Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given ...

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  6. Draw the graph of the polynomial f(x)=x^2-6x+9.

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  7. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-2...

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  8. Draw the graph of the polynomial f(x)=x^3-4x .

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  9. Draw the graph of the cubic polynomial f(x)=x^3-2x^2 .

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  10. Draw the graph of the polynomial f(x)=x^3 .

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  11. If each one of the following graphs is the graph of a polynomial, then...

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  12. The graphs of y=a x^2+b x+c are given in Fig. Identify the signs of ...

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  13. Find the zeros of the quadratic polynomial f(x)=6x^2-3 , and verify th...

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  14. Find the zeros of the polynomial f(u)=4u^2+8u , and verify the relatio...

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  15. Find a quadratic polynomial each with the given numbers as the sum and...

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  16. If alpha and beta are the zeros of the quadratic polynomial f(x)=2x...

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  17. If alpha and beta are the zeros of the quadratic polynomial f(x)=3x...

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  18. Find the zeros of polynomial f(x)=x^2-2x-8 and verify the relationship...

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  19. Find the zeros of polynomial g(s)=4s^2-4s+1 and verify the relationshi...

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  20. Find the zeros of polynomial h(t)=t^2-15 and verify the relationship ...

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