Sum and product of the zeroes and verify — task. Maths CBSE Live product, Class 10 (2026-27).

Estimate the zeroes of the polynomial \(x^2 -4x -12\), and verify the relation between the coefficients and the zeroes of the polynomial.

Answer:

The zeroes are

and

Sum of the zeroes \(=\)

Product of the zeroes \(=\)

Answer variants:

\frac{- constant}{coefficient of x^{2}} = \frac{3}{4}

\frac{- coefficient of x}{coefficient of x^{2}} = \frac{- 5}{4}

4

\(x = \frac{3}{\sqrt{2}}\)

\(x = -2\)

\(x = 6\)

\(x = \frac{-1}{2 \sqrt{2}}\)

- 12

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7. Sum and product of the zeroes and verify