what is the relationship between zeroes and coefficients of quadratic polynomial??
Answers
Answer:
General form of quadratic polynomial is ax 2 + bx +c where a ≠ 0. There are two zeroes of quadratic polynomial. Product of zeroes =ca = Constant term Coefficient of x2 Constant term Coefficient of x 2 .
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term), divided by the leading coefficient.
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
Answer:
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