Question

Find the Zeroes of the Polynomial :
$3 {x}^{2} + 4x - 4 = 0$
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Answer 1

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$\large\longrightarrow \bold{ 3{x}^{2} + 4x - 4 = 0}$

$\large\longrightarrow \bold{ 3{x}^{2} - 6x + 2x -4 = 0}$

$\large\longrightarrow \bold{3x(x - 2) + 2(x - 2) = 0}$

$\large\longrightarrow \bold{(3x + 2)(x - 2) = 0}$

$\large\longrightarrow \bold{(3x + 2) = 0 \: or, \: (x - 2) = 0}$

$\purple{\huge\longrightarrow \boxed{\bold{x = \frac{ - 2}{3} \: or, \: 2}}}$

$\therefore$ Zeroes of the Polynomial are $\frac{ - 2}{3}$ and 2.

Answer 2

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