Question

find the zero of polynomial 2x^2 + 7 - 4​

Answer 1

$\sf 2 {x}^{2} + 7x - 4 = 0$

$\sf \implies 2 {x}^{2} - x + 8x - 4 = 0$

$\sf \implies x(2x - 1) + 4(2x - 1)= 0$

$\sf \implies (x + 4)(2x - 1)= 0$

By zero product rule,

$\sf x + 4 = 0 \: or \: 2x - 1 = 0$

Hence,

$\sf x = - 4 \: or \: x = \frac{1}{2}$

Which is the required answer.

Answer 2

Answer:

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