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(i) Find a quadratic polynomial each wit...

(i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`1/4,-1`
(ii) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`sqrt2,1/3`
(iii) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`0,sqrt5`
(iv) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`1,1`
(v) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`-1/4,1/4`
(vi) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`4,1`

Text Solution

Verified by Experts

The correct Answer is:
`p(x)= k[x^(2)-(x)/(4)-1]`
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OSWAAL PUBLICATION-POLYNOMIALS-TOPIC-1 DEGREE, VALUE AND ZERO OF A POLYNOMAIL (SHORT ANSWER TYPE QUESTION)
  1. Find the zeroes of polynomial p(x) = 6x^(2) -3 - 7x

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  2. (i) Find a quadratic polynomial each with the given numbers as the sum...

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  3. Solve the equation 3x^(2) - 5x+ 2 = 0 by using the formula

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  4. Write the degree of the polynomial f(x) = x^(2)- 3x^(3) + 2

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  5. Find the degree of the following polynomials. x^(2)-9x+20

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  6. Find the degree of the following polynomials. 2x+4+6x^(2)

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  7. Find the degree of the following polynomials. x^(3)+2x^(2)-5x-6

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  8. Find the degree of the following polynomials. x^(3)+17x-21-x^(2)

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  9. Find the degree of the following polynomials. sqrt(3)x^(3)+19x+14

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  10. Find the values of the following polynomials: g(x) = 7x^(2) + 2x + ...

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  11. Find the values of the following polynomials: p(x) = -x^(3) + x^(2)...

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  12. Find the values of the following polynomials: p(x) = 2x^(2) + (1)/(4...

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  13. Find the values of the following polynomials: p(x) = 2x^(4) - 3x^(3)...

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  14. Verify whether the indicated numbers are zeroes of the polynomials in ...

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  15. Verify whether the indicated numbers are zeroes of the polynomials in ...

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  16. Verify whether the indicated numbers are zeroes of the polynomials in ...

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  17. Verify whether the indicated numbers are zeroes of the polynomials in ...

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  18. Find the zeroes of the quadratic polynomial sqrt(3)x^(2)-8x+4sqrt(3)

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  19. Find all the zeroes of f(x) = x^(2) - 2x.

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  20. Find the values of a and b, it they are the zeroes of polynomial x^(2)...

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