Write the relationship between coefficients and roots of the polynomials
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Example 4: If α and β are the zeros of ax2 + bx + c, a ≠ 0 then verify the relation between the zeros and its coefficients. Sol. Since a and b are the zeros of polynomial ax2 + bx + c. Therefore, (x – α), (x – β) are the factors of the polynomial ax2 + bx + c.
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