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

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Find the zeroes of the polynomial

$x^2 + \frac{1}{6}x - 2$ , 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:

$x = \frac{4}{3}$

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

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

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

$\frac{- coefficient of x}{coefficient of x^{2}} = \frac{1}{6}$

$\frac{- coefficient of x}{coefficient of x^{2}} = \frac{- 1}{6}$

$x = \frac{3}{4}$

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

Did you find an error?

35. Exemplar problems XVI