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

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Find the zeroes of the polynomial

$3x^2 + 4x - 4$ by factorisation method 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:

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

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

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

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

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

$x = -2$

$x = \frac{-1}{4}$

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

Did you find an error?

37. Exemplar problems XVIII