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Pie Polynomial Solved

The document contains a series of mathematical problems related to polynomials, specifically focusing on finding the values of 'k' and 'p' based on the properties of zeros of quadratic polynomials. It includes problems involving relationships between the sum and product of zeros, as well as conditions on their differences. The problems are categorized into intermediate and expert levels, indicating varying degrees of difficulty.

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Noori Shaik
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45 views5 pages

Pie Polynomial Solved

The document contains a series of mathematical problems related to polynomials, specifically focusing on finding the values of 'k' and 'p' based on the properties of zeros of quadratic polynomials. It includes problems involving relationships between the sum and product of zeros, as well as conditions on their differences. The problems are categorized into intermediate and expert levels, indicating varying degrees of difficulty.

Uploaded by

Noori Shaik
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PIE-WORKSHEET ​ ​ POLYNOMIAL

PIE-WORKSHEET ​ ​ POLYNOMIAL
PIE-WORKSHEET ​ ​ POLYNOMIAL

INTERMEDIATE

7. If α andβ are the zeros of the polynomial p(x) = x2 – (k +8) x + 3(2k +1). Find
the value of k, if α +β = 1/3 (αβ)
PIE-WORKSHEET ​ ​ POLYNOMIAL

8. One zero of a quadratic polynomial f(x) = 4x2 – 8kx – 9 is negative of the


other, find the value of k.

EXPERT

9. If the square of the difference of the zeros of a quadratic


polynomial x2+ px +45 is equal to 144, find the values of p.

10. If the sum of the zeroes of the polynomial(a+1) x2 + (2a+3) x + (3a+4) is – 1,


then find the product of its zeroes.
PIE-WORKSHEET ​ ​ POLYNOMIAL

11. If 𝛼 and 𝛽 are zeroes of the polynomial 2x2+5x+k satisfying the


relation 𝛼2 + 𝛽2 + 𝛼𝛽 = 21

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