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Find ∝ , β Are the Zeros of Polynomial ∝ +β= 6 And ∝β 4 Then Write the Polynomial.

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Question

Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial. 

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Solution

If the zeroes of the quadratic polynomial are 𝛼 and 𝛽 then the quadratic polynomial can be found as `x^2-(∝+β)x+∝β`          ......................(1) 

Substituting the values in (1), we get 

`x^2-6x+4`

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Chapter 2: Polynomials - Exercises 3

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 2 Polynomials
Exercises 3 | Q 4

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