Exemplar - Verify the relation — task. Maths CBSE Live product, Class 10 (2026-27).

Obtain the zeroes of the polynomial \(2x^2+4\sqrt{2}x+3\), and Confirm 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}

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

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

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

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

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

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

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

Did you find an error?

9. Exemplar - Verify the relation