Question

यदि p (x) = x2- 3x -4,तो p (x) का एक शून्यक क्या होगा ?,​

Answer 1

SOLUTION

GIVEN

p(x) = x² - 3x - 4

TO DETERMINE

The one of the zeroes of the polynomial

EVALUATION

Here the given Quadratic polynomial is

p(x) = x² - 3x - 4

So p(x) has two zeroes

Now

$\sf{ {x}^{2} - 3x - 4 = 0}$

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

$\sf{ \implies \: x(x - 4) +1(x- 4) = 0}$

$\sf{ \implies \: (x - 4)(x + 1) = 0}$

x - 4 = gives x = 4

x + 1 = 0 gives x = - 1

Hence the two zeroes are - 1 , 4

FINAL ANSWER

Hence one of the zeroes of the polynomial is - 1 or 4

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