Exemplar problems XXII — task. Mathematics CBSE, Class 10.

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Find the zeroes of the polynomial

$4x^2 + 5 \sqrt{2}x - 3$ , 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:

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

$x = \frac{3}{\sqrt{2}}$

$x = \frac{-1}{2 \sqrt{2}}$

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

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

$x = \frac{-3}{\sqrt{2}}$

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

$x = \frac{1}{2 \sqrt{2}}$

Did you find an error?

41. Exemplar problems XXII