Question

what are zeros of polynomial x² + 3x -4​

Answer 1

Answer:

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Step-by-step explanation:

x² + 3x - 4 = 0

x² + 4x - 1x - 4 = 0

x ( x + 4 ) -1 ( x + 4 ) = 0

( x - 1 ) ( x + 4 ) = 0

x = 1 , -4 ➡ Answer

Answer 2

Given :

Polynomial

$x {}^{2} + 3x - 4$

What to find out = zeroes of polynomial?

Solution :-

Factorise by splitting middle term

${x}^{2} + 3x - 4 = 0 \\ x {}^{2} + 4x - x - 4 = 0 \\ x(x + 4) - 1(x + 4) = 0 \\ (x + 4)(x - 1) = 0$

Hence, zeroes of polynomial

$x_1 = - 4 \\ x_2 = 1$

Knowledge enhancer :-

• Quadratic polynomial => A polynomial with degree 2 ( highest exponent of the polynomial) is called the quadratic polynomial.

like:- ax² + bx + c , where a is not zero.