Question

The Zero Of Polynomial 3x2+11x-4Are

Answer 1

$Given \: the \: polynomial :\\ p(x) = 3x^{2}+11x-4$

$Let \: p(x) = 0$

$3x^{2}+11x-4 = 0$

/* Splitting the middle term,we get */

$\implies 3x^{2} + 12x - 1x - 4 = 0$

$\implies 3x( x + 4 ) - 1( x + 4 ) = 0$

$\implies (x+4)(3x-1)= 0$

$\implies x + 4 = 0 \:Or \: 3x - 1 = 0$

$\implies x = - 4 \:Or \: 3x = 1$

$\implies x = - 4 \:Or \: x = \frac{1 }{3}$

Therefore.,

$\green { -4 \: and \: \frac{1 }{3} \:are} \: \green {zeroes \: of \: polynomial }$

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